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Finding the Third Proportional to 830,908 and 1,356,664

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Solution

The third proportional to 830,908 and 1,356,664 is: 2,215,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,908 : 1,356,664 = 1,356,664 : x
  2. Step 2: Convert to fraction form
    830,908/1,356,664 = 1,356,664/x
  3. Step 3: Cross multiply
    830,908x = 1,356,664 × 1,356,664
  4. Step 4: Simplify right side
    830,908x = 1,840,537,208,896
  5. Step 5: Solve for x
    x = 1,840,537,208,896/830,908
  6. Step 6: Final answer
    x = 2,215,091.45

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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.