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Finding the Third Proportional to 690,232 and 1,413,926

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Solution

The third proportional to 690,232 and 1,413,926 is: 2,896,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,232 : 1,413,926 = 1,413,926 : x
  2. Step 2: Convert to fraction form
    690,232/1,413,926 = 1,413,926/x
  3. Step 3: Cross multiply
    690,232x = 1,413,926 × 1,413,926
  4. Step 4: Simplify right side
    690,232x = 1,999,186,733,476
  5. Step 5: Solve for x
    x = 1,999,186,733,476/690,232
  6. Step 6: Final answer
    x = 2,896,398.22

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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.