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Finding the Third Proportional to 449,585 and 981,547

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Solution

The third proportional to 449,585 and 981,547 is: 2,142,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,585 : 981,547 = 981,547 : x
  2. Step 2: Convert to fraction form
    449,585/981,547 = 981,547/x
  3. Step 3: Cross multiply
    449,585x = 981,547 × 981,547
  4. Step 4: Simplify right side
    449,585x = 963,434,513,209
  5. Step 5: Solve for x
    x = 963,434,513,209/449,585
  6. Step 6: Final answer
    x = 2,142,941.85

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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.