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Finding the Third Proportional to 704,513 and 1,570,385

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Solution

The third proportional to 704,513 and 1,570,385 is: 3,500,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,513 : 1,570,385 = 1,570,385 : x
  2. Step 2: Convert to fraction form
    704,513/1,570,385 = 1,570,385/x
  3. Step 3: Cross multiply
    704,513x = 1,570,385 × 1,570,385
  4. Step 4: Simplify right side
    704,513x = 2,466,109,048,225
  5. Step 5: Solve for x
    x = 2,466,109,048,225/704,513
  6. Step 6: Final answer
    x = 3,500,445.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.