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Finding the Third Proportional to 473,805 and 1,023,471

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Solution

The third proportional to 473,805 and 1,023,471 is: 2,210,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,805 : 1,023,471 = 1,023,471 : x
  2. Step 2: Convert to fraction form
    473,805/1,023,471 = 1,023,471/x
  3. Step 3: Cross multiply
    473,805x = 1,023,471 × 1,023,471
  4. Step 4: Simplify right side
    473,805x = 1,047,492,887,841
  5. Step 5: Solve for x
    x = 1,047,492,887,841/473,805
  6. Step 6: Final answer
    x = 2,210,810.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.