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Finding the Third Proportional to 693,945 and 1,035,160

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Solution

The third proportional to 693,945 and 1,035,160 is: 1,544,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,945 : 1,035,160 = 1,035,160 : x
  2. Step 2: Convert to fraction form
    693,945/1,035,160 = 1,035,160/x
  3. Step 3: Cross multiply
    693,945x = 1,035,160 × 1,035,160
  4. Step 4: Simplify right side
    693,945x = 1,071,556,225,600
  5. Step 5: Solve for x
    x = 1,071,556,225,600/693,945
  6. Step 6: Final answer
    x = 1,544,151.52

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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.