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Finding the Third Proportional to 732,230 and 1,519,796

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Solution

The third proportional to 732,230 and 1,519,796 is: 3,154,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,230 : 1,519,796 = 1,519,796 : x
  2. Step 2: Convert to fraction form
    732,230/1,519,796 = 1,519,796/x
  3. Step 3: Cross multiply
    732,230x = 1,519,796 × 1,519,796
  4. Step 4: Simplify right side
    732,230x = 2,309,779,881,616
  5. Step 5: Solve for x
    x = 2,309,779,881,616/732,230
  6. Step 6: Final answer
    x = 3,154,445.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.