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Finding the Third Proportional to 4,211,166 and 6,288,681

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Solution

The third proportional to 4,211,166 and 6,288,681 is: 9,391,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,166 : 6,288,681 = 6,288,681 : x
  2. Step 2: Convert to fraction form
    4,211,166/6,288,681 = 6,288,681/x
  3. Step 3: Cross multiply
    4,211,166x = 6,288,681 × 6,288,681
  4. Step 4: Simplify right side
    4,211,166x = 39,547,508,719,761
  5. Step 5: Solve for x
    x = 39,547,508,719,761/4,211,166
  6. Step 6: Final answer
    x = 9,391,106.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.