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Finding the Third Proportional to 670,716 and 1,012,378

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Solution

The third proportional to 670,716 and 1,012,378 is: 1,528,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,716 : 1,012,378 = 1,012,378 : x
  2. Step 2: Convert to fraction form
    670,716/1,012,378 = 1,012,378/x
  3. Step 3: Cross multiply
    670,716x = 1,012,378 × 1,012,378
  4. Step 4: Simplify right side
    670,716x = 1,024,909,214,884
  5. Step 5: Solve for x
    x = 1,024,909,214,884/670,716
  6. Step 6: Final answer
    x = 1,528,082.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.