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Finding the Third Proportional to 573,696 and 1,246,896

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Solution

The third proportional to 573,696 and 1,246,896 is: 2,710,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,696 : 1,246,896 = 1,246,896 : x
  2. Step 2: Convert to fraction form
    573,696/1,246,896 = 1,246,896/x
  3. Step 3: Cross multiply
    573,696x = 1,246,896 × 1,246,896
  4. Step 4: Simplify right side
    573,696x = 1,554,749,634,816
  5. Step 5: Solve for x
    x = 1,554,749,634,816/573,696
  6. Step 6: Final answer
    x = 2,710,058.35

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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.