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Finding the Third Proportional to 690,078 and 1,501,656

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Solution

The third proportional to 690,078 and 1,501,656 is: 3,267,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,078 : 1,501,656 = 1,501,656 : x
  2. Step 2: Convert to fraction form
    690,078/1,501,656 = 1,501,656/x
  3. Step 3: Cross multiply
    690,078x = 1,501,656 × 1,501,656
  4. Step 4: Simplify right side
    690,078x = 2,254,970,742,336
  5. Step 5: Solve for x
    x = 2,254,970,742,336/690,078
  6. Step 6: Final answer
    x = 3,267,704.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.