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Finding the Third Proportional to 730,368 and 1,577,376

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Solution

The third proportional to 730,368 and 1,577,376 is: 3,406,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,368 : 1,577,376 = 1,577,376 : x
  2. Step 2: Convert to fraction form
    730,368/1,577,376 = 1,577,376/x
  3. Step 3: Cross multiply
    730,368x = 1,577,376 × 1,577,376
  4. Step 4: Simplify right side
    730,368x = 2,488,115,045,376
  5. Step 5: Solve for x
    x = 2,488,115,045,376/730,368
  6. Step 6: Final answer
    x = 3,406,659.44

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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.