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Finding the Third Proportional to 2,038,656 and 2,851,689

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Solution

The third proportional to 2,038,656 and 2,851,689 is: 3,988,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038,656 : 2,851,689 = 2,851,689 : x
  2. Step 2: Convert to fraction form
    2,038,656/2,851,689 = 2,851,689/x
  3. Step 3: Cross multiply
    2,038,656x = 2,851,689 × 2,851,689
  4. Step 4: Simplify right side
    2,038,656x = 8,132,130,152,721
  5. Step 5: Solve for x
    x = 8,132,130,152,721/2,038,656
  6. Step 6: Final answer
    x = 3,988,966.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.