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Finding the Third Proportional to 2,781,780 and 5,862,444

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Solution

The third proportional to 2,781,780 and 5,862,444 is: 12,354,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,780 : 5,862,444 = 5,862,444 : x
  2. Step 2: Convert to fraction form
    2,781,780/5,862,444 = 5,862,444/x
  3. Step 3: Cross multiply
    2,781,780x = 5,862,444 × 5,862,444
  4. Step 4: Simplify right side
    2,781,780x = 34,368,249,653,136
  5. Step 5: Solve for x
    x = 34,368,249,653,136/2,781,780
  6. Step 6: Final answer
    x = 12,354,769.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.