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Finding the Third Proportional to 2,298,943 and 4,878,085

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Solution

The third proportional to 2,298,943 and 4,878,085 is: 10,350,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,943 : 4,878,085 = 4,878,085 : x
  2. Step 2: Convert to fraction form
    2,298,943/4,878,085 = 4,878,085/x
  3. Step 3: Cross multiply
    2,298,943x = 4,878,085 × 4,878,085
  4. Step 4: Simplify right side
    2,298,943x = 23,795,713,267,225
  5. Step 5: Solve for x
    x = 23,795,713,267,225/2,298,943
  6. Step 6: Final answer
    x = 10,350,719.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.