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Finding the Third Proportional to 473,301 and 1,018,773

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Solution

The third proportional to 473,301 and 1,018,773 is: 2,192,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,301 : 1,018,773 = 1,018,773 : x
  2. Step 2: Convert to fraction form
    473,301/1,018,773 = 1,018,773/x
  3. Step 3: Cross multiply
    473,301x = 1,018,773 × 1,018,773
  4. Step 4: Simplify right side
    473,301x = 1,037,898,425,529
  5. Step 5: Solve for x
    x = 1,037,898,425,529/473,301
  6. Step 6: Final answer
    x = 2,192,892.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.