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Finding the Third Proportional to 712,036 and 1,102,146

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Solution

The third proportional to 712,036 and 1,102,146 is: 1,705,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,036 : 1,102,146 = 1,102,146 : x
  2. Step 2: Convert to fraction form
    712,036/1,102,146 = 1,102,146/x
  3. Step 3: Cross multiply
    712,036x = 1,102,146 × 1,102,146
  4. Step 4: Simplify right side
    712,036x = 1,214,725,805,316
  5. Step 5: Solve for x
    x = 1,214,725,805,316/712,036
  6. Step 6: Final answer
    x = 1,705,989.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.