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Finding the Third Proportional to 713,688 and 1,043,739

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Solution

The third proportional to 713,688 and 1,043,739 is: 1,526,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,688 : 1,043,739 = 1,043,739 : x
  2. Step 2: Convert to fraction form
    713,688/1,043,739 = 1,043,739/x
  3. Step 3: Cross multiply
    713,688x = 1,043,739 × 1,043,739
  4. Step 4: Simplify right side
    713,688x = 1,089,391,100,121
  5. Step 5: Solve for x
    x = 1,089,391,100,121/713,688
  6. Step 6: Final answer
    x = 1,526,424.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.