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Finding the Third Proportional to 592,984 and 919,572

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Solution

The third proportional to 592,984 and 919,572 is: 1,426,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,984 : 919,572 = 919,572 : x
  2. Step 2: Convert to fraction form
    592,984/919,572 = 919,572/x
  3. Step 3: Cross multiply
    592,984x = 919,572 × 919,572
  4. Step 4: Simplify right side
    592,984x = 845,612,663,184
  5. Step 5: Solve for x
    x = 845,612,663,184/592,984
  6. Step 6: Final answer
    x = 1,426,029.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.