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Finding the Third Proportional to 549,693 and 840,886

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Solution

The third proportional to 549,693 and 840,886 is: 1,286,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,693 : 840,886 = 840,886 : x
  2. Step 2: Convert to fraction form
    549,693/840,886 = 840,886/x
  3. Step 3: Cross multiply
    549,693x = 840,886 × 840,886
  4. Step 4: Simplify right side
    549,693x = 707,089,264,996
  5. Step 5: Solve for x
    x = 707,089,264,996/549,693
  6. Step 6: Final answer
    x = 1,286,334.85

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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.