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Finding the Third Proportional to 1,069,038 and 2,305,176.47

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Solution

The third proportional to 1,069,038 and 2,305,176.47 is: 4,970,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,038 : 2,305,176.47 = 2,305,176.47 : x
  2. Step 2: Convert to fraction form
    1,069,038/2,305,176.47 = 2,305,176.47/x
  3. Step 3: Cross multiply
    1,069,038x = 2,305,176.47 × 2,305,176.47
  4. Step 4: Simplify right side
    1,069,038x = 5,313,838,552,078.72
  5. Step 5: Solve for x
    x = 5,313,838,552,078.72/1,069,038
  6. Step 6: Final answer
    x = 4,970,673.21

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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.