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Finding the Third Proportional to 1,357,947 and 2,977,038

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Solution

The third proportional to 1,357,947 and 2,977,038 is: 6,526,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,947 : 2,977,038 = 2,977,038 : x
  2. Step 2: Convert to fraction form
    1,357,947/2,977,038 = 2,977,038/x
  3. Step 3: Cross multiply
    1,357,947x = 2,977,038 × 2,977,038
  4. Step 4: Simplify right side
    1,357,947x = 8,862,755,253,444
  5. Step 5: Solve for x
    x = 8,862,755,253,444/1,357,947
  6. Step 6: Final answer
    x = 6,526,584.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.