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Finding the Third Proportional to 923,301 and 1,418,303

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Solution

The third proportional to 923,301 and 1,418,303 is: 2,178,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,301 : 1,418,303 = 1,418,303 : x
  2. Step 2: Convert to fraction form
    923,301/1,418,303 = 1,418,303/x
  3. Step 3: Cross multiply
    923,301x = 1,418,303 × 1,418,303
  4. Step 4: Simplify right side
    923,301x = 2,011,583,399,809
  5. Step 5: Solve for x
    x = 2,011,583,399,809/923,301
  6. Step 6: Final answer
    x = 2,178,686.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.