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Finding the Third Proportional to 960,830 and 2,224,091

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Solution

The third proportional to 960,830 and 2,224,091 is: 5,148,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,830 : 2,224,091 = 2,224,091 : x
  2. Step 2: Convert to fraction form
    960,830/2,224,091 = 2,224,091/x
  3. Step 3: Cross multiply
    960,830x = 2,224,091 × 2,224,091
  4. Step 4: Simplify right side
    960,830x = 4,946,580,776,281
  5. Step 5: Solve for x
    x = 4,946,580,776,281/960,830
  6. Step 6: Final answer
    x = 5,148,237.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.