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Finding the Third Proportional to 563,895 and 1,221,277.50

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Solution

The third proportional to 563,895 and 1,221,277.50 is: 2,645,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,895 : 1,221,277.50 = 1,221,277.50 : x
  2. Step 2: Convert to fraction form
    563,895/1,221,277.50 = 1,221,277.50/x
  3. Step 3: Cross multiply
    563,895x = 1,221,277.50 × 1,221,277.50
  4. Step 4: Simplify right side
    563,895x = 1,491,518,732,006.25
  5. Step 5: Solve for x
    x = 1,491,518,732,006.25/563,895
  6. Step 6: Final answer
    x = 2,645,029.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.