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Finding the Third Proportional to 4,015,740 and 6,117,712

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Solution

The third proportional to 4,015,740 and 6,117,712 is: 9,319,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015,740 : 6,117,712 = 6,117,712 : x
  2. Step 2: Convert to fraction form
    4,015,740/6,117,712 = 6,117,712/x
  3. Step 3: Cross multiply
    4,015,740x = 6,117,712 × 6,117,712
  4. Step 4: Simplify right side
    4,015,740x = 37,426,400,114,944
  5. Step 5: Solve for x
    x = 37,426,400,114,944/4,015,740
  6. Step 6: Final answer
    x = 9,319,926.12

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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.