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Finding the Third Proportional to 906,572.25 and 1,973,281.50

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Solution

The third proportional to 906,572.25 and 1,973,281.50 is: 4,295,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,572.25 : 1,973,281.50 = 1,973,281.50 : x
  2. Step 2: Convert to fraction form
    906,572.25/1,973,281.50 = 1,973,281.50/x
  3. Step 3: Cross multiply
    906,572.25x = 1,973,281.50 × 1,973,281.50
  4. Step 4: Simplify right side
    906,572.25x = 3,893,839,878,242.25
  5. Step 5: Solve for x
    x = 3,893,839,878,242.25/906,572.25
  6. Step 6: Final answer
    x = 4,295,123.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.