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Finding the Third Proportional to 2,476,849.50 and 3,487,947.75

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Solution

The third proportional to 2,476,849.50 and 3,487,947.75 is: 4,911,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476,849.50 : 3,487,947.75 = 3,487,947.75 : x
  2. Step 2: Convert to fraction form
    2,476,849.50/3,487,947.75 = 3,487,947.75/x
  3. Step 3: Cross multiply
    2,476,849.50x = 3,487,947.75 × 3,487,947.75
  4. Step 4: Simplify right side
    2,476,849.50x = 12,165,779,506,730.06
  5. Step 5: Solve for x
    x = 12,165,779,506,730.06/2,476,849.50
  6. Step 6: Final answer
    x = 4,911,796.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.