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Finding the Third Proportional to 2,084,572 and 3,114,582

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Solution

The third proportional to 2,084,572 and 3,114,582 is: 4,653,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,572 : 3,114,582 = 3,114,582 : x
  2. Step 2: Convert to fraction form
    2,084,572/3,114,582 = 3,114,582/x
  3. Step 3: Cross multiply
    2,084,572x = 3,114,582 × 3,114,582
  4. Step 4: Simplify right side
    2,084,572x = 9,700,621,034,724
  5. Step 5: Solve for x
    x = 9,700,621,034,724/2,084,572
  6. Step 6: Final answer
    x = 4,653,531.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.