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Finding the Third Proportional to 812,880.56 and 1,249,938.84

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Solution

The third proportional to 812,880.56 and 1,249,938.84 is: 1,921,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,880.56 : 1,249,938.84 = 1,249,938.84 : x
  2. Step 2: Convert to fraction form
    812,880.56/1,249,938.84 = 1,249,938.84/x
  3. Step 3: Cross multiply
    812,880.56x = 1,249,938.84 × 1,249,938.84
  4. Step 4: Simplify right side
    812,880.56x = 1,562,347,113,115.09
  5. Step 5: Solve for x
    x = 1,562,347,113,115.09/812,880.56
  6. Step 6: Final answer
    x = 1,921,988.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.