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Finding the Third Proportional to 689,844 and 1,030,516

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Solution

The third proportional to 689,844 and 1,030,516 is: 1,539,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,844 : 1,030,516 = 1,030,516 : x
  2. Step 2: Convert to fraction form
    689,844/1,030,516 = 1,030,516/x
  3. Step 3: Cross multiply
    689,844x = 1,030,516 × 1,030,516
  4. Step 4: Simplify right side
    689,844x = 1,061,963,226,256
  5. Step 5: Solve for x
    x = 1,061,963,226,256/689,844
  6. Step 6: Final answer
    x = 1,539,425.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.