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Finding the Third Proportional to 2,912,582 and 6,385,036

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Solution

The third proportional to 2,912,582 and 6,385,036 is: 13,997,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,582 : 6,385,036 = 6,385,036 : x
  2. Step 2: Convert to fraction form
    2,912,582/6,385,036 = 6,385,036/x
  3. Step 3: Cross multiply
    2,912,582x = 6,385,036 × 6,385,036
  4. Step 4: Simplify right side
    2,912,582x = 40,768,684,721,296
  5. Step 5: Solve for x
    x = 40,768,684,721,296/2,912,582
  6. Step 6: Final answer
    x = 13,997,437.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.