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Finding the Third Proportional to 688,314 and 1,036,636

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Solution

The third proportional to 688,314 and 1,036,636 is: 1,561,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,314 : 1,036,636 = 1,036,636 : x
  2. Step 2: Convert to fraction form
    688,314/1,036,636 = 1,036,636/x
  3. Step 3: Cross multiply
    688,314x = 1,036,636 × 1,036,636
  4. Step 4: Simplify right side
    688,314x = 1,074,614,196,496
  5. Step 5: Solve for x
    x = 1,074,614,196,496/688,314
  6. Step 6: Final answer
    x = 1,561,226.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.