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Finding the Third Proportional to 549,693 and 840,887

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Solution

The third proportional to 549,693 and 840,887 is: 1,286,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,693 : 840,887 = 840,887 : x
  2. Step 2: Convert to fraction form
    549,693/840,887 = 840,887/x
  3. Step 3: Cross multiply
    549,693x = 840,887 × 840,887
  4. Step 4: Simplify right side
    549,693x = 707,090,946,769
  5. Step 5: Solve for x
    x = 707,090,946,769/549,693
  6. Step 6: Final answer
    x = 1,286,337.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.