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Finding the Third Proportional to 3,539,411 and 5,465,582

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Solution

The third proportional to 3,539,411 and 5,465,582 is: 8,439,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539,411 : 5,465,582 = 5,465,582 : x
  2. Step 2: Convert to fraction form
    3,539,411/5,465,582 = 5,465,582/x
  3. Step 3: Cross multiply
    3,539,411x = 5,465,582 × 5,465,582
  4. Step 4: Simplify right side
    3,539,411x = 29,872,586,598,724
  5. Step 5: Solve for x
    x = 29,872,586,598,724/3,539,411
  6. Step 6: Final answer
    x = 8,439,988.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.