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Finding the Third Proportional to 685,510 and 1,094,688

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Solution

The third proportional to 685,510 and 1,094,688 is: 1,748,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,510 : 1,094,688 = 1,094,688 : x
  2. Step 2: Convert to fraction form
    685,510/1,094,688 = 1,094,688/x
  3. Step 3: Cross multiply
    685,510x = 1,094,688 × 1,094,688
  4. Step 4: Simplify right side
    685,510x = 1,198,341,817,344
  5. Step 5: Solve for x
    x = 1,198,341,817,344/685,510
  6. Step 6: Final answer
    x = 1,748,102.61

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.