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Finding the Third Proportional to 2,935,461 and 4,133,767.50

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Solution

The third proportional to 2,935,461 and 4,133,767.50 is: 5,821,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935,461 : 4,133,767.50 = 4,133,767.50 : x
  2. Step 2: Convert to fraction form
    2,935,461/4,133,767.50 = 4,133,767.50/x
  3. Step 3: Cross multiply
    2,935,461x = 4,133,767.50 × 4,133,767.50
  4. Step 4: Simplify right side
    2,935,461x = 17,088,033,744,056.25
  5. Step 5: Solve for x
    x = 17,088,033,744,056.25/2,935,461
  6. Step 6: Final answer
    x = 5,821,243.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.