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Finding the Third Proportional to 868,512 and 1,913,709

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Solution

The third proportional to 868,512 and 1,913,709 is: 4,216,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,512 : 1,913,709 = 1,913,709 : x
  2. Step 2: Convert to fraction form
    868,512/1,913,709 = 1,913,709/x
  3. Step 3: Cross multiply
    868,512x = 1,913,709 × 1,913,709
  4. Step 4: Simplify right side
    868,512x = 3,662,282,136,681
  5. Step 5: Solve for x
    x = 3,662,282,136,681/868,512
  6. Step 6: Final answer
    x = 4,216,731.76

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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.