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Finding the Third Proportional to 687,088 and 1,010,080

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Solution

The third proportional to 687,088 and 1,010,080 is: 1,484,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,088 : 1,010,080 = 1,010,080 : x
  2. Step 2: Convert to fraction form
    687,088/1,010,080 = 1,010,080/x
  3. Step 3: Cross multiply
    687,088x = 1,010,080 × 1,010,080
  4. Step 4: Simplify right side
    687,088x = 1,020,261,606,400
  5. Step 5: Solve for x
    x = 1,020,261,606,400/687,088
  6. Step 6: Final answer
    x = 1,484,906.75

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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.