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Finding the Third Proportional to 716,325 and 1,570,432

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Solution

The third proportional to 716,325 and 1,570,432 is: 3,442,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,325 : 1,570,432 = 1,570,432 : x
  2. Step 2: Convert to fraction form
    716,325/1,570,432 = 1,570,432/x
  3. Step 3: Cross multiply
    716,325x = 1,570,432 × 1,570,432
  4. Step 4: Simplify right side
    716,325x = 2,466,256,666,624
  5. Step 5: Solve for x
    x = 2,466,256,666,624/716,325
  6. Step 6: Final answer
    x = 3,442,929.77

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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.