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Finding the Third Proportional to 830,898 and 1,356,651

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Solution

The third proportional to 830,898 and 1,356,651 is: 2,215,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,898 : 1,356,651 = 1,356,651 : x
  2. Step 2: Convert to fraction form
    830,898/1,356,651 = 1,356,651/x
  3. Step 3: Cross multiply
    830,898x = 1,356,651 × 1,356,651
  4. Step 4: Simplify right side
    830,898x = 1,840,501,935,801
  5. Step 5: Solve for x
    x = 1,840,501,935,801/830,898
  6. Step 6: Final answer
    x = 2,215,075.66

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.