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Finding the Third Proportional to 1,098,362.25 and 1,700,541

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Solution

The third proportional to 1,098,362.25 and 1,700,541 is: 2,632,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,362.25 : 1,700,541 = 1,700,541 : x
  2. Step 2: Convert to fraction form
    1,098,362.25/1,700,541 = 1,700,541/x
  3. Step 3: Cross multiply
    1,098,362.25x = 1,700,541 × 1,700,541
  4. Step 4: Simplify right side
    1,098,362.25x = 2,891,839,692,681
  5. Step 5: Solve for x
    x = 2,891,839,692,681/1,098,362.25
  6. Step 6: Final answer
    x = 2,632,865.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.