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Finding the Third Proportional to 900,315 and 1,950,097.78

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Solution

The third proportional to 900,315 and 1,950,097.78 is: 4,223,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,315 : 1,950,097.78 = 1,950,097.78 : x
  2. Step 2: Convert to fraction form
    900,315/1,950,097.78 = 1,950,097.78/x
  3. Step 3: Cross multiply
    900,315x = 1,950,097.78 × 1,950,097.78
  4. Step 4: Simplify right side
    900,315x = 3,802,881,356,436.17
  5. Step 5: Solve for x
    x = 3,802,881,356,436.17/900,315
  6. Step 6: Final answer
    x = 4,223,945.35

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Why These Related Problems?

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