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Finding the Third Proportional to 2,368,658 and 5,209,708

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Solution

The third proportional to 2,368,658 and 5,209,708 is: 11,458,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368,658 : 5,209,708 = 5,209,708 : x
  2. Step 2: Convert to fraction form
    2,368,658/5,209,708 = 5,209,708/x
  3. Step 3: Cross multiply
    2,368,658x = 5,209,708 × 5,209,708
  4. Step 4: Simplify right side
    2,368,658x = 27,141,057,445,264
  5. Step 5: Solve for x
    x = 27,141,057,445,264/2,368,658
  6. Step 6: Final answer
    x = 11,458,411.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.