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Finding the Third Proportional to 623,878 and 1,277,312

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Solution

The third proportional to 623,878 and 1,277,312 is: 2,615,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,878 : 1,277,312 = 1,277,312 : x
  2. Step 2: Convert to fraction form
    623,878/1,277,312 = 1,277,312/x
  3. Step 3: Cross multiply
    623,878x = 1,277,312 × 1,277,312
  4. Step 4: Simplify right side
    623,878x = 1,631,525,945,344
  5. Step 5: Solve for x
    x = 1,631,525,945,344/623,878
  6. Step 6: Final answer
    x = 2,615,136.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.