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Finding the Third Proportional to 473,382 and 1,018,935

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Solution

The third proportional to 473,382 and 1,018,935 is: 2,193,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,382 : 1,018,935 = 1,018,935 : x
  2. Step 2: Convert to fraction form
    473,382/1,018,935 = 1,018,935/x
  3. Step 3: Cross multiply
    473,382x = 1,018,935 × 1,018,935
  4. Step 4: Simplify right side
    473,382x = 1,038,228,534,225
  5. Step 5: Solve for x
    x = 1,038,228,534,225/473,382
  6. Step 6: Final answer
    x = 2,193,215.07

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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.