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Finding the Third Proportional to 977,136 and 2,153,048

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Solution

The third proportional to 977,136 and 2,153,048 is: 4,744,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,136 : 2,153,048 = 2,153,048 : x
  2. Step 2: Convert to fraction form
    977,136/2,153,048 = 2,153,048/x
  3. Step 3: Cross multiply
    977,136x = 2,153,048 × 2,153,048
  4. Step 4: Simplify right side
    977,136x = 4,635,615,690,304
  5. Step 5: Solve for x
    x = 4,635,615,690,304/977,136
  6. Step 6: Final answer
    x = 4,744,084.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.