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Finding the Third Proportional to 986,904 and 2,152,291.50

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Solution

The third proportional to 986,904 and 2,152,291.50 is: 4,693,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,904 : 2,152,291.50 = 2,152,291.50 : x
  2. Step 2: Convert to fraction form
    986,904/2,152,291.50 = 2,152,291.50/x
  3. Step 3: Cross multiply
    986,904x = 2,152,291.50 × 2,152,291.50
  4. Step 4: Simplify right side
    986,904x = 4,632,358,700,972.25
  5. Step 5: Solve for x
    x = 4,632,358,700,972.25/986,904
  6. Step 6: Final answer
    x = 4,693,829.09

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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.