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Finding the Third Proportional to 1,128,458,654 and 1,742,997,405

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Solution

The third proportional to 1,128,458,654 and 1,742,997,405 is: 2,692,203,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128,458,654 : 1,742,997,405 = 1,742,997,405 : x
  2. Step 2: Convert to fraction form
    1,128,458,654/1,742,997,405 = 1,742,997,405/x
  3. Step 3: Cross multiply
    1,128,458,654x = 1,742,997,405 × 1,742,997,405
  4. Step 4: Simplify right side
    1,128,458,654x = 3,038,039,953,836,733,952
  5. Step 5: Solve for x
    x = 3,038,039,953,836,733,952/1,128,458,654
  6. Step 6: Final answer
    x = 2,692,203,159.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.