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Finding the Third Proportional to 2,653,061.63 and 4,207,768.88

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Solution

The third proportional to 2,653,061.63 and 4,207,768.88 is: 6,673,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,061.63 : 4,207,768.88 = 4,207,768.88 : x
  2. Step 2: Convert to fraction form
    2,653,061.63/4,207,768.88 = 4,207,768.88/x
  3. Step 3: Cross multiply
    2,653,061.63x = 4,207,768.88 × 4,207,768.88
  4. Step 4: Simplify right side
    2,653,061.63x = 17,705,318,905,418.77
  5. Step 5: Solve for x
    x = 17,705,318,905,418.77/2,653,061.63
  6. Step 6: Final answer
    x = 6,673,542.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.