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Finding the Third Proportional to 978,896 and 1,378,528

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Solution

The third proportional to 978,896 and 1,378,528 is: 1,941,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,896 : 1,378,528 = 1,378,528 : x
  2. Step 2: Convert to fraction form
    978,896/1,378,528 = 1,378,528/x
  3. Step 3: Cross multiply
    978,896x = 1,378,528 × 1,378,528
  4. Step 4: Simplify right side
    978,896x = 1,900,339,446,784
  5. Step 5: Solve for x
    x = 1,900,339,446,784/978,896
  6. Step 6: Final answer
    x = 1,941,308.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.