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Finding the Third Proportional to 730,318 and 1,577,275

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Solution

The third proportional to 730,318 and 1,577,275 is: 3,406,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,318 : 1,577,275 = 1,577,275 : x
  2. Step 2: Convert to fraction form
    730,318/1,577,275 = 1,577,275/x
  3. Step 3: Cross multiply
    730,318x = 1,577,275 × 1,577,275
  4. Step 4: Simplify right side
    730,318x = 2,487,796,425,625
  5. Step 5: Solve for x
    x = 2,487,796,425,625/730,318
  6. Step 6: Final answer
    x = 3,406,456.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.