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Finding the Third Proportional to 916,013 and 1,346,648

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Solution

The third proportional to 916,013 and 1,346,648 is: 1,979,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,013 : 1,346,648 = 1,346,648 : x
  2. Step 2: Convert to fraction form
    916,013/1,346,648 = 1,346,648/x
  3. Step 3: Cross multiply
    916,013x = 1,346,648 × 1,346,648
  4. Step 4: Simplify right side
    916,013x = 1,813,460,835,904
  5. Step 5: Solve for x
    x = 1,813,460,835,904/916,013
  6. Step 6: Final answer
    x = 1,979,732.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.