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Finding the Third Proportional to 564,319 and 1,206,290

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Solution

The third proportional to 564,319 and 1,206,290 is: 2,578,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,319 : 1,206,290 = 1,206,290 : x
  2. Step 2: Convert to fraction form
    564,319/1,206,290 = 1,206,290/x
  3. Step 3: Cross multiply
    564,319x = 1,206,290 × 1,206,290
  4. Step 4: Simplify right side
    564,319x = 1,455,135,564,100
  5. Step 5: Solve for x
    x = 1,455,135,564,100/564,319
  6. Step 6: Final answer
    x = 2,578,569.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.