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Finding the Third Proportional to 688,010 and 1,011,790

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Solution

The third proportional to 688,010 and 1,011,790 is: 1,487,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,010 : 1,011,790 = 1,011,790 : x
  2. Step 2: Convert to fraction form
    688,010/1,011,790 = 1,011,790/x
  3. Step 3: Cross multiply
    688,010x = 1,011,790 × 1,011,790
  4. Step 4: Simplify right side
    688,010x = 1,023,719,004,100
  5. Step 5: Solve for x
    x = 1,023,719,004,100/688,010
  6. Step 6: Final answer
    x = 1,487,942.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.