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Finding the Third Proportional to 670,586 and 1,445,716

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Solution

The third proportional to 670,586 and 1,445,716 is: 3,116,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,586 : 1,445,716 = 1,445,716 : x
  2. Step 2: Convert to fraction form
    670,586/1,445,716 = 1,445,716/x
  3. Step 3: Cross multiply
    670,586x = 1,445,716 × 1,445,716
  4. Step 4: Simplify right side
    670,586x = 2,090,094,752,656
  5. Step 5: Solve for x
    x = 2,090,094,752,656/670,586
  6. Step 6: Final answer
    x = 3,116,818.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.