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Finding the Third Proportional to 702,946.69 and 1,455,737.06

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Solution

The third proportional to 702,946.69 and 1,455,737.06 is: 3,014,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,946.69 : 1,455,737.06 = 1,455,737.06 : x
  2. Step 2: Convert to fraction form
    702,946.69/1,455,737.06 = 1,455,737.06/x
  3. Step 3: Cross multiply
    702,946.69x = 1,455,737.06 × 1,455,737.06
  4. Step 4: Simplify right side
    702,946.69x = 2,119,170,395,136.13
  5. Step 5: Solve for x
    x = 2,119,170,395,136.13/702,946.69
  6. Step 6: Final answer
    x = 3,014,695.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.