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Finding the Third Proportional to 882,498.75 and 1,926,836.25

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Solution

The third proportional to 882,498.75 and 1,926,836.25 is: 4,207,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,498.75 : 1,926,836.25 = 1,926,836.25 : x
  2. Step 2: Convert to fraction form
    882,498.75/1,926,836.25 = 1,926,836.25/x
  3. Step 3: Cross multiply
    882,498.75x = 1,926,836.25 × 1,926,836.25
  4. Step 4: Simplify right side
    882,498.75x = 3,712,697,934,314.06
  5. Step 5: Solve for x
    x = 3,712,697,934,314.06/882,498.75
  6. Step 6: Final answer
    x = 4,207,029.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.