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Finding the Third Proportional to 403,810 and 849,470

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Solution

The third proportional to 403,810 and 849,470 is: 1,786,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,810 : 849,470 = 849,470 : x
  2. Step 2: Convert to fraction form
    403,810/849,470 = 849,470/x
  3. Step 3: Cross multiply
    403,810x = 849,470 × 849,470
  4. Step 4: Simplify right side
    403,810x = 721,599,280,900
  5. Step 5: Solve for x
    x = 721,599,280,900/403,810
  6. Step 6: Final answer
    x = 1,786,977.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.