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Finding the Third Proportional to 1,931,639.91 and 4,199,581.69

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Solution

The third proportional to 1,931,639.91 and 4,199,581.69 is: 9,130,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,639.91 : 4,199,581.69 = 4,199,581.69 : x
  2. Step 2: Convert to fraction form
    1,931,639.91/4,199,581.69 = 4,199,581.69/x
  3. Step 3: Cross multiply
    1,931,639.91x = 4,199,581.69 × 4,199,581.69
  4. Step 4: Simplify right side
    1,931,639.91x = 17,636,486,349,985.35
  5. Step 5: Solve for x
    x = 17,636,486,349,985.35/1,931,639.91
  6. Step 6: Final answer
    x = 9,130,317.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.