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Finding the Third Proportional to 473,094 and 1,024,920

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Solution

The third proportional to 473,094 and 1,024,920 is: 2,220,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,094 : 1,024,920 = 1,024,920 : x
  2. Step 2: Convert to fraction form
    473,094/1,024,920 = 1,024,920/x
  3. Step 3: Cross multiply
    473,094x = 1,024,920 × 1,024,920
  4. Step 4: Simplify right side
    473,094x = 1,050,461,006,400
  5. Step 5: Solve for x
    x = 1,050,461,006,400/473,094
  6. Step 6: Final answer
    x = 2,220,406.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.