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Finding the Third Proportional to 578,026 and 920,548

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Solution

The third proportional to 578,026 and 920,548 is: 1,466,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,026 : 920,548 = 920,548 : x
  2. Step 2: Convert to fraction form
    578,026/920,548 = 920,548/x
  3. Step 3: Cross multiply
    578,026x = 920,548 × 920,548
  4. Step 4: Simplify right side
    578,026x = 847,408,620,304
  5. Step 5: Solve for x
    x = 847,408,620,304/578,026
  6. Step 6: Final answer
    x = 1,466,038.93

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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.