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Finding the Third Proportional to 709,226 and 1,063,840

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Solution

The third proportional to 709,226 and 1,063,840 is: 1,595,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,226 : 1,063,840 = 1,063,840 : x
  2. Step 2: Convert to fraction form
    709,226/1,063,840 = 1,063,840/x
  3. Step 3: Cross multiply
    709,226x = 1,063,840 × 1,063,840
  4. Step 4: Simplify right side
    709,226x = 1,131,755,545,600
  5. Step 5: Solve for x
    x = 1,131,755,545,600/709,226
  6. Step 6: Final answer
    x = 1,595,761.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.