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Finding the Third Proportional to 710,574 and 1,522,444

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Solution

The third proportional to 710,574 and 1,522,444 is: 3,261,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,574 : 1,522,444 = 1,522,444 : x
  2. Step 2: Convert to fraction form
    710,574/1,522,444 = 1,522,444/x
  3. Step 3: Cross multiply
    710,574x = 1,522,444 × 1,522,444
  4. Step 4: Simplify right side
    710,574x = 2,317,835,733,136
  5. Step 5: Solve for x
    x = 2,317,835,733,136/710,574
  6. Step 6: Final answer
    x = 3,261,920.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.