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Finding the Third Proportional to 610,930 and 1,277,498

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Solution

The third proportional to 610,930 and 1,277,498 is: 2,671,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,930 : 1,277,498 = 1,277,498 : x
  2. Step 2: Convert to fraction form
    610,930/1,277,498 = 1,277,498/x
  3. Step 3: Cross multiply
    610,930x = 1,277,498 × 1,277,498
  4. Step 4: Simplify right side
    610,930x = 1,632,001,140,004
  5. Step 5: Solve for x
    x = 1,632,001,140,004/610,930
  6. Step 6: Final answer
    x = 2,671,339.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.