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Finding the Third Proportional to 2,358,084 and 5,052,359

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Solution

The third proportional to 2,358,084 and 5,052,359 is: 10,825,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,084 : 5,052,359 = 5,052,359 : x
  2. Step 2: Convert to fraction form
    2,358,084/5,052,359 = 5,052,359/x
  3. Step 3: Cross multiply
    2,358,084x = 5,052,359 × 5,052,359
  4. Step 4: Simplify right side
    2,358,084x = 25,526,331,464,881
  5. Step 5: Solve for x
    x = 25,526,331,464,881/2,358,084
  6. Step 6: Final answer
    x = 10,825,030.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.