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Finding the Third Proportional to 4,107,076 and 6,384,597

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Solution

The third proportional to 4,107,076 and 6,384,597 is: 9,925,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,076 : 6,384,597 = 6,384,597 : x
  2. Step 2: Convert to fraction form
    4,107,076/6,384,597 = 6,384,597/x
  3. Step 3: Cross multiply
    4,107,076x = 6,384,597 × 6,384,597
  4. Step 4: Simplify right side
    4,107,076x = 40,763,078,852,409
  5. Step 5: Solve for x
    x = 40,763,078,852,409/4,107,076
  6. Step 6: Final answer
    x = 9,925,085.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.