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Finding the Third Proportional to 686,632 and 1,005,364

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Solution

The third proportional to 686,632 and 1,005,364 is: 1,472,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,632 : 1,005,364 = 1,005,364 : x
  2. Step 2: Convert to fraction form
    686,632/1,005,364 = 1,005,364/x
  3. Step 3: Cross multiply
    686,632x = 1,005,364 × 1,005,364
  4. Step 4: Simplify right side
    686,632x = 1,010,756,772,496
  5. Step 5: Solve for x
    x = 1,010,756,772,496/686,632
  6. Step 6: Final answer
    x = 1,472,050.20

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.