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Finding the Third Proportional to 687,577 and 1,010,303

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Solution

The third proportional to 687,577 and 1,010,303 is: 1,484,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,577 : 1,010,303 = 1,010,303 : x
  2. Step 2: Convert to fraction form
    687,577/1,010,303 = 1,010,303/x
  3. Step 3: Cross multiply
    687,577x = 1,010,303 × 1,010,303
  4. Step 4: Simplify right side
    687,577x = 1,020,712,151,809
  5. Step 5: Solve for x
    x = 1,020,712,151,809/687,577
  6. Step 6: Final answer
    x = 1,484,505.96

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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.