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Finding the Third Proportional to 1,638,176.91 and 2,564,214.47

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Solution

The third proportional to 1,638,176.91 and 2,564,214.47 is: 4,013,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,176.91 : 2,564,214.47 = 2,564,214.47 : x
  2. Step 2: Convert to fraction form
    1,638,176.91/2,564,214.47 = 2,564,214.47/x
  3. Step 3: Cross multiply
    1,638,176.91x = 2,564,214.47 × 2,564,214.47
  4. Step 4: Simplify right side
    1,638,176.91x = 6,575,195,841,746.85
  5. Step 5: Solve for x
    x = 6,575,195,841,746.85/1,638,176.91
  6. Step 6: Final answer
    x = 4,013,727.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.