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Finding the Third Proportional to 784,893 and 1,689,585

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Solution

The third proportional to 784,893 and 1,689,585 is: 3,637,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,893 : 1,689,585 = 1,689,585 : x
  2. Step 2: Convert to fraction form
    784,893/1,689,585 = 1,689,585/x
  3. Step 3: Cross multiply
    784,893x = 1,689,585 × 1,689,585
  4. Step 4: Simplify right side
    784,893x = 2,854,697,472,225
  5. Step 5: Solve for x
    x = 2,854,697,472,225/784,893
  6. Step 6: Final answer
    x = 3,637,053.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.