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Finding the Third Proportional to 573,465 and 1,246,608

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Solution

The third proportional to 573,465 and 1,246,608 is: 2,709,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,465 : 1,246,608 = 1,246,608 : x
  2. Step 2: Convert to fraction form
    573,465/1,246,608 = 1,246,608/x
  3. Step 3: Cross multiply
    573,465x = 1,246,608 × 1,246,608
  4. Step 4: Simplify right side
    573,465x = 1,554,031,505,664
  5. Step 5: Solve for x
    x = 1,554,031,505,664/573,465
  6. Step 6: Final answer
    x = 2,709,897.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.