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Finding the Third Proportional to 885,688 and 1,409,984

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Solution

The third proportional to 885,688 and 1,409,984 is: 2,244,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,688 : 1,409,984 = 1,409,984 : x
  2. Step 2: Convert to fraction form
    885,688/1,409,984 = 1,409,984/x
  3. Step 3: Cross multiply
    885,688x = 1,409,984 × 1,409,984
  4. Step 4: Simplify right side
    885,688x = 1,988,054,880,256
  5. Step 5: Solve for x
    x = 1,988,054,880,256/885,688
  6. Step 6: Final answer
    x = 2,244,644.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.