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Finding the Third Proportional to 993,432.09 and 2,145,657.09

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Solution

The third proportional to 993,432.09 and 2,145,657.09 is: 4,634,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,432.09 : 2,145,657.09 = 2,145,657.09 : x
  2. Step 2: Convert to fraction form
    993,432.09/2,145,657.09 = 2,145,657.09/x
  3. Step 3: Cross multiply
    993,432.09x = 2,145,657.09 × 2,145,657.09
  4. Step 4: Simplify right side
    993,432.09x = 4,603,844,363,959.70
  5. Step 5: Solve for x
    x = 4,603,844,363,959.70/993,432.09
  6. Step 6: Final answer
    x = 4,634,281.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.