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Finding the Third Proportional to 521,127 and 1,142,010

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Solution

The third proportional to 521,127 and 1,142,010 is: 2,502,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,127 : 1,142,010 = 1,142,010 : x
  2. Step 2: Convert to fraction form
    521,127/1,142,010 = 1,142,010/x
  3. Step 3: Cross multiply
    521,127x = 1,142,010 × 1,142,010
  4. Step 4: Simplify right side
    521,127x = 1,304,186,840,100
  5. Step 5: Solve for x
    x = 1,304,186,840,100/521,127
  6. Step 6: Final answer
    x = 2,502,627.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.