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Finding the Third Proportional to 2,537,034 and 3,478,959

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Solution

The third proportional to 2,537,034 and 3,478,959 is: 4,770,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,034 : 3,478,959 = 3,478,959 : x
  2. Step 2: Convert to fraction form
    2,537,034/3,478,959 = 3,478,959/x
  3. Step 3: Cross multiply
    2,537,034x = 3,478,959 × 3,478,959
  4. Step 4: Simplify right side
    2,537,034x = 12,103,155,723,681
  5. Step 5: Solve for x
    x = 12,103,155,723,681/2,537,034
  6. Step 6: Final answer
    x = 4,770,592.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.