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Finding the Third Proportional to 586,926 and 864,810

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Solution

The third proportional to 586,926 and 864,810 is: 1,274,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,926 : 864,810 = 864,810 : x
  2. Step 2: Convert to fraction form
    586,926/864,810 = 864,810/x
  3. Step 3: Cross multiply
    586,926x = 864,810 × 864,810
  4. Step 4: Simplify right side
    586,926x = 747,896,336,100
  5. Step 5: Solve for x
    x = 747,896,336,100/586,926
  6. Step 6: Final answer
    x = 1,274,260.02

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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.