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Finding the Third Proportional to 1,128,459,000 and 1,742,997,948

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Solution

The third proportional to 1,128,459,000 and 1,742,997,948 is: 2,692,204,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128,459,000 : 1,742,997,948 = 1,742,997,948 : x
  2. Step 2: Convert to fraction form
    1,128,459,000/1,742,997,948 = 1,742,997,948/x
  3. Step 3: Cross multiply
    1,128,459,000x = 1,742,997,948 × 1,742,997,948
  4. Step 4: Simplify right side
    1,128,459,000x = 3,038,041,846,732,210,688
  5. Step 5: Solve for x
    x = 3,038,041,846,732,210,688/1,128,459,000
  6. Step 6: Final answer
    x = 2,692,204,011.61

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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.