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Finding the Third Proportional to 2,087,354.81 and 3,056,400.84

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Solution

The third proportional to 2,087,354.81 and 3,056,400.84 is: 4,475,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087,354.81 : 3,056,400.84 = 3,056,400.84 : x
  2. Step 2: Convert to fraction form
    2,087,354.81/3,056,400.84 = 3,056,400.84/x
  3. Step 3: Cross multiply
    2,087,354.81x = 3,056,400.84 × 3,056,400.84
  4. Step 4: Simplify right side
    2,087,354.81x = 9,341,586,117,675.71
  5. Step 5: Solve for x
    x = 9,341,586,117,675.71/2,087,354.81
  6. Step 6: Final answer
    x = 4,475,322.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.