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Finding the Third Proportional to 2,176,079.24 and 4,528,774.86

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Solution

The third proportional to 2,176,079.24 and 4,528,774.86 is: 9,425,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,079.24 : 4,528,774.86 = 4,528,774.86 : x
  2. Step 2: Convert to fraction form
    2,176,079.24/4,528,774.86 = 4,528,774.86/x
  3. Step 3: Cross multiply
    2,176,079.24x = 4,528,774.86 × 4,528,774.86
  4. Step 4: Simplify right side
    2,176,079.24x = 20,509,801,762,287.65
  5. Step 5: Solve for x
    x = 20,509,801,762,287.65/2,176,079.24
  6. Step 6: Final answer
    x = 9,425,117.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.