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Finding the Third Proportional to 963,491 and 2,098,570

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Solution

The third proportional to 963,491 and 2,098,570 is: 4,570,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,491 : 2,098,570 = 2,098,570 : x
  2. Step 2: Convert to fraction form
    963,491/2,098,570 = 2,098,570/x
  3. Step 3: Cross multiply
    963,491x = 2,098,570 × 2,098,570
  4. Step 4: Simplify right side
    963,491x = 4,403,996,044,900
  5. Step 5: Solve for x
    x = 4,403,996,044,900/963,491
  6. Step 6: Final answer
    x = 4,570,874.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.