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Finding the Third Proportional to 716,316.75 and 1,570,414.50

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Solution

The third proportional to 716,316.75 and 1,570,414.50 is: 3,442,892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,316.75 : 1,570,414.50 = 1,570,414.50 : x
  2. Step 2: Convert to fraction form
    716,316.75/1,570,414.50 = 1,570,414.50/x
  3. Step 3: Cross multiply
    716,316.75x = 1,570,414.50 × 1,570,414.50
  4. Step 4: Simplify right side
    716,316.75x = 2,466,201,701,810.25
  5. Step 5: Solve for x
    x = 2,466,201,701,810.25/716,316.75
  6. Step 6: Final answer
    x = 3,442,892.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.