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Finding the Third Proportional to 4,374,894 and 6,849,072

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Solution

The third proportional to 4,374,894 and 6,849,072 is: 10,722,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374,894 : 6,849,072 = 6,849,072 : x
  2. Step 2: Convert to fraction form
    4,374,894/6,849,072 = 6,849,072/x
  3. Step 3: Cross multiply
    4,374,894x = 6,849,072 × 6,849,072
  4. Step 4: Simplify right side
    4,374,894x = 46,909,787,261,184
  5. Step 5: Solve for x
    x = 46,909,787,261,184/4,374,894
  6. Step 6: Final answer
    x = 10,722,496.88

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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.