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Finding the Third Proportional to 670,570 and 1,307,420

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Solution

The third proportional to 670,570 and 1,307,420 is: 2,549,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,570 : 1,307,420 = 1,307,420 : x
  2. Step 2: Convert to fraction form
    670,570/1,307,420 = 1,307,420/x
  3. Step 3: Cross multiply
    670,570x = 1,307,420 × 1,307,420
  4. Step 4: Simplify right side
    670,570x = 1,709,347,056,400
  5. Step 5: Solve for x
    x = 1,709,347,056,400/670,570
  6. Step 6: Final answer
    x = 2,549,095.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.