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Finding the Third Proportional to 758,346 and 1,142,326

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Solution

The third proportional to 758,346 and 1,142,326 is: 1,720,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,346 : 1,142,326 = 1,142,326 : x
  2. Step 2: Convert to fraction form
    758,346/1,142,326 = 1,142,326/x
  3. Step 3: Cross multiply
    758,346x = 1,142,326 × 1,142,326
  4. Step 4: Simplify right side
    758,346x = 1,304,908,690,276
  5. Step 5: Solve for x
    x = 1,304,908,690,276/758,346
  6. Step 6: Final answer
    x = 1,720,729.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.