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Finding the Third Proportional to 776,279 and 1,697,386

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Solution

The third proportional to 776,279 and 1,697,386 is: 3,711,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,279 : 1,697,386 = 1,697,386 : x
  2. Step 2: Convert to fraction form
    776,279/1,697,386 = 1,697,386/x
  3. Step 3: Cross multiply
    776,279x = 1,697,386 × 1,697,386
  4. Step 4: Simplify right side
    776,279x = 2,881,119,232,996
  5. Step 5: Solve for x
    x = 2,881,119,232,996/776,279
  6. Step 6: Final answer
    x = 3,711,448.12

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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.