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Finding the Third Proportional to 2,842,590 and 4,220,589

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Solution

The third proportional to 2,842,590 and 4,220,589 is: 6,266,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,590 : 4,220,589 = 4,220,589 : x
  2. Step 2: Convert to fraction form
    2,842,590/4,220,589 = 4,220,589/x
  3. Step 3: Cross multiply
    2,842,590x = 4,220,589 × 4,220,589
  4. Step 4: Simplify right side
    2,842,590x = 17,813,371,506,921
  5. Step 5: Solve for x
    x = 17,813,371,506,921/2,842,590
  6. Step 6: Final answer
    x = 6,266,598.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.