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Finding the Third Proportional to 687,456 and 1,010,113

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Solution

The third proportional to 687,456 and 1,010,113 is: 1,484,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,456 : 1,010,113 = 1,010,113 : x
  2. Step 2: Convert to fraction form
    687,456/1,010,113 = 1,010,113/x
  3. Step 3: Cross multiply
    687,456x = 1,010,113 × 1,010,113
  4. Step 4: Simplify right side
    687,456x = 1,020,328,272,769
  5. Step 5: Solve for x
    x = 1,020,328,272,769/687,456
  6. Step 6: Final answer
    x = 1,484,208.84

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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.