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Finding the Third Proportional to 4,047,506 and 6,154,138

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Solution

The third proportional to 4,047,506 and 6,154,138 is: 9,357,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047,506 : 6,154,138 = 6,154,138 : x
  2. Step 2: Convert to fraction form
    4,047,506/6,154,138 = 6,154,138/x
  3. Step 3: Cross multiply
    4,047,506x = 6,154,138 × 6,154,138
  4. Step 4: Simplify right side
    4,047,506x = 37,873,414,523,044
  5. Step 5: Solve for x
    x = 37,873,414,523,044/4,047,506
  6. Step 6: Final answer
    x = 9,357,222.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.