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Finding the Third Proportional to 652,029 and 1,400,470

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Solution

The third proportional to 652,029 and 1,400,470 is: 3,008,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,029 : 1,400,470 = 1,400,470 : x
  2. Step 2: Convert to fraction form
    652,029/1,400,470 = 1,400,470/x
  3. Step 3: Cross multiply
    652,029x = 1,400,470 × 1,400,470
  4. Step 4: Simplify right side
    652,029x = 1,961,316,220,900
  5. Step 5: Solve for x
    x = 1,961,316,220,900/652,029
  6. Step 6: Final answer
    x = 3,008,019.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.