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Finding the Third Proportional to 473,364 and 1,006,992

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Solution

The third proportional to 473,364 and 1,006,992 is: 2,142,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,364 : 1,006,992 = 1,006,992 : x
  2. Step 2: Convert to fraction form
    473,364/1,006,992 = 1,006,992/x
  3. Step 3: Cross multiply
    473,364x = 1,006,992 × 1,006,992
  4. Step 4: Simplify right side
    473,364x = 1,014,032,888,064
  5. Step 5: Solve for x
    x = 1,014,032,888,064/473,364
  6. Step 6: Final answer
    x = 2,142,184.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.