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Finding the Third Proportional to 712,721 and 1,437,106

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Solution

The third proportional to 712,721 and 1,437,106 is: 2,897,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,721 : 1,437,106 = 1,437,106 : x
  2. Step 2: Convert to fraction form
    712,721/1,437,106 = 1,437,106/x
  3. Step 3: Cross multiply
    712,721x = 1,437,106 × 1,437,106
  4. Step 4: Simplify right side
    712,721x = 2,065,273,655,236
  5. Step 5: Solve for x
    x = 2,065,273,655,236/712,721
  6. Step 6: Final answer
    x = 2,897,730.89

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.