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Finding the Third Proportional to 688,981 and 1,034,157

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Solution

The third proportional to 688,981 and 1,034,157 is: 1,552,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,981 : 1,034,157 = 1,034,157 : x
  2. Step 2: Convert to fraction form
    688,981/1,034,157 = 1,034,157/x
  3. Step 3: Cross multiply
    688,981x = 1,034,157 × 1,034,157
  4. Step 4: Simplify right side
    688,981x = 1,069,480,700,649
  5. Step 5: Solve for x
    x = 1,069,480,700,649/688,981
  6. Step 6: Final answer
    x = 1,552,264.43

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