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Finding the Third Proportional to 478,594 and 1,044,123

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Solution

The third proportional to 478,594 and 1,044,123 is: 2,277,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,594 : 1,044,123 = 1,044,123 : x
  2. Step 2: Convert to fraction form
    478,594/1,044,123 = 1,044,123/x
  3. Step 3: Cross multiply
    478,594x = 1,044,123 × 1,044,123
  4. Step 4: Simplify right side
    478,594x = 1,090,192,839,129
  5. Step 5: Solve for x
    x = 1,090,192,839,129/478,594
  6. Step 6: Final answer
    x = 2,277,907.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.