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Finding the Third Proportional to 912,903.75 and 1,400,159.25

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Solution

The third proportional to 912,903.75 and 1,400,159.25 is: 2,147,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,903.75 : 1,400,159.25 = 1,400,159.25 : x
  2. Step 2: Convert to fraction form
    912,903.75/1,400,159.25 = 1,400,159.25/x
  3. Step 3: Cross multiply
    912,903.75x = 1,400,159.25 × 1,400,159.25
  4. Step 4: Simplify right side
    912,903.75x = 1,960,445,925,360.56
  5. Step 5: Solve for x
    x = 1,960,445,925,360.56/912,903.75
  6. Step 6: Final answer
    x = 2,147,483.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.