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Finding the Third Proportional to 868,491 and 1,913,671

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Solution

The third proportional to 868,491 and 1,913,671 is: 4,216,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,491 : 1,913,671 = 1,913,671 : x
  2. Step 2: Convert to fraction form
    868,491/1,913,671 = 1,913,671/x
  3. Step 3: Cross multiply
    868,491x = 1,913,671 × 1,913,671
  4. Step 4: Simplify right side
    868,491x = 3,662,136,696,241
  5. Step 5: Solve for x
    x = 3,662,136,696,241/868,491
  6. Step 6: Final answer
    x = 4,216,666.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.