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Finding the Third Proportional to 973,226 and 2,090,292

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Solution

The third proportional to 973,226 and 2,090,292 is: 4,489,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,226 : 2,090,292 = 2,090,292 : x
  2. Step 2: Convert to fraction form
    973,226/2,090,292 = 2,090,292/x
  3. Step 3: Cross multiply
    973,226x = 2,090,292 × 2,090,292
  4. Step 4: Simplify right side
    973,226x = 4,369,320,645,264
  5. Step 5: Solve for x
    x = 4,369,320,645,264/973,226
  6. Step 6: Final answer
    x = 4,489,523.14

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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.