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Finding the Third Proportional to 714,572 and 1,137,458

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Solution

The third proportional to 714,572 and 1,137,458 is: 1,810,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,572 : 1,137,458 = 1,137,458 : x
  2. Step 2: Convert to fraction form
    714,572/1,137,458 = 1,137,458/x
  3. Step 3: Cross multiply
    714,572x = 1,137,458 × 1,137,458
  4. Step 4: Simplify right side
    714,572x = 1,293,810,701,764
  5. Step 5: Solve for x
    x = 1,293,810,701,764/714,572
  6. Step 6: Final answer
    x = 1,810,609.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.