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Finding the Third Proportional to 776,324 and 1,697,472

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Solution

The third proportional to 776,324 and 1,697,472 is: 3,711,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,324 : 1,697,472 = 1,697,472 : x
  2. Step 2: Convert to fraction form
    776,324/1,697,472 = 1,697,472/x
  3. Step 3: Cross multiply
    776,324x = 1,697,472 × 1,697,472
  4. Step 4: Simplify right side
    776,324x = 2,881,411,190,784
  5. Step 5: Solve for x
    x = 2,881,411,190,784/776,324
  6. Step 6: Final answer
    x = 3,711,609.06

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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.