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Finding the Third Proportional to 531,924 and 1,165,584

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Solution

The third proportional to 531,924 and 1,165,584 is: 2,554,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,924 : 1,165,584 = 1,165,584 : x
  2. Step 2: Convert to fraction form
    531,924/1,165,584 = 1,165,584/x
  3. Step 3: Cross multiply
    531,924x = 1,165,584 × 1,165,584
  4. Step 4: Simplify right side
    531,924x = 1,358,586,061,056
  5. Step 5: Solve for x
    x = 1,358,586,061,056/531,924
  6. Step 6: Final answer
    x = 2,554,098.07

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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.