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Finding the Third Proportional to 730,628 and 1,146,423

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Solution

The third proportional to 730,628 and 1,146,423 is: 1,798,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,628 : 1,146,423 = 1,146,423 : x
  2. Step 2: Convert to fraction form
    730,628/1,146,423 = 1,146,423/x
  3. Step 3: Cross multiply
    730,628x = 1,146,423 × 1,146,423
  4. Step 4: Simplify right side
    730,628x = 1,314,285,694,929
  5. Step 5: Solve for x
    x = 1,314,285,694,929/730,628
  6. Step 6: Final answer
    x = 1,798,843.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.