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Finding the Third Proportional to 3,211,654 and 4,696,854

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Solution

The third proportional to 3,211,654 and 4,696,854 is: 6,868,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,654 : 4,696,854 = 4,696,854 : x
  2. Step 2: Convert to fraction form
    3,211,654/4,696,854 = 4,696,854/x
  3. Step 3: Cross multiply
    3,211,654x = 4,696,854 × 4,696,854
  4. Step 4: Simplify right side
    3,211,654x = 22,060,437,497,316
  5. Step 5: Solve for x
    x = 22,060,437,497,316/3,211,654
  6. Step 6: Final answer
    x = 6,868,871.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.