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Finding the Third Proportional to 2,955,294 and 6,415,020

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Solution

The third proportional to 2,955,294 and 6,415,020 is: 13,925,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955,294 : 6,415,020 = 6,415,020 : x
  2. Step 2: Convert to fraction form
    2,955,294/6,415,020 = 6,415,020/x
  3. Step 3: Cross multiply
    2,955,294x = 6,415,020 × 6,415,020
  4. Step 4: Simplify right side
    2,955,294x = 41,152,481,600,400
  5. Step 5: Solve for x
    x = 41,152,481,600,400/2,955,294
  6. Step 6: Final answer
    x = 13,925,004.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.