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Finding the Third Proportional to 592,618 and 941,415

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Solution

The third proportional to 592,618 and 941,415 is: 1,495,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,618 : 941,415 = 941,415 : x
  2. Step 2: Convert to fraction form
    592,618/941,415 = 941,415/x
  3. Step 3: Cross multiply
    592,618x = 941,415 × 941,415
  4. Step 4: Simplify right side
    592,618x = 886,262,202,225
  5. Step 5: Solve for x
    x = 886,262,202,225/592,618
  6. Step 6: Final answer
    x = 1,495,503.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.