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Finding the Third Proportional to 1,057,988.25 and 1,584,522

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Solution

The third proportional to 1,057,988.25 and 1,584,522 is: 2,373,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,988.25 : 1,584,522 = 1,584,522 : x
  2. Step 2: Convert to fraction form
    1,057,988.25/1,584,522 = 1,584,522/x
  3. Step 3: Cross multiply
    1,057,988.25x = 1,584,522 × 1,584,522
  4. Step 4: Simplify right side
    1,057,988.25x = 2,510,709,968,484
  5. Step 5: Solve for x
    x = 2,510,709,968,484/1,057,988.25
  6. Step 6: Final answer
    x = 2,373,098.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.