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Finding the Third Proportional to 611,730 and 899,745

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Solution

The third proportional to 611,730 and 899,745 is: 1,323,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,730 : 899,745 = 899,745 : x
  2. Step 2: Convert to fraction form
    611,730/899,745 = 899,745/x
  3. Step 3: Cross multiply
    611,730x = 899,745 × 899,745
  4. Step 4: Simplify right side
    611,730x = 809,541,065,025
  5. Step 5: Solve for x
    x = 809,541,065,025/611,730
  6. Step 6: Final answer
    x = 1,323,363.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.