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Finding the Third Proportional to 710,419 and 1,557,064

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Solution

The third proportional to 710,419 and 1,557,064 is: 3,412,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,419 : 1,557,064 = 1,557,064 : x
  2. Step 2: Convert to fraction form
    710,419/1,557,064 = 1,557,064/x
  3. Step 3: Cross multiply
    710,419x = 1,557,064 × 1,557,064
  4. Step 4: Simplify right side
    710,419x = 2,424,448,300,096
  5. Step 5: Solve for x
    x = 2,424,448,300,096/710,419
  6. Step 6: Final answer
    x = 3,412,701.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.