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Finding the Third Proportional to 900,497.25 and 1,263,402.56

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Solution

The third proportional to 900,497.25 and 1,263,402.56 is: 1,772,560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,497.25 : 1,263,402.56 = 1,263,402.56 : x
  2. Step 2: Convert to fraction form
    900,497.25/1,263,402.56 = 1,263,402.56/x
  3. Step 3: Cross multiply
    900,497.25x = 1,263,402.56 × 1,263,402.56
  4. Step 4: Simplify right side
    900,497.25x = 1,596,186,034,931.57
  5. Step 5: Solve for x
    x = 1,596,186,034,931.57/900,497.25
  6. Step 6: Final answer
    x = 1,772,560.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.