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Finding the Third Proportional to 607,134 and 912,657

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Solution

The third proportional to 607,134 and 912,657 is: 1,371,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,134 : 912,657 = 912,657 : x
  2. Step 2: Convert to fraction form
    607,134/912,657 = 912,657/x
  3. Step 3: Cross multiply
    607,134x = 912,657 × 912,657
  4. Step 4: Simplify right side
    607,134x = 832,942,799,649
  5. Step 5: Solve for x
    x = 832,942,799,649/607,134
  6. Step 6: Final answer
    x = 1,371,925.80

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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.