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Finding the Third Proportional to 738,196 and 1,140,006

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Solution

The third proportional to 738,196 and 1,140,006 is: 1,760,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,196 : 1,140,006 = 1,140,006 : x
  2. Step 2: Convert to fraction form
    738,196/1,140,006 = 1,140,006/x
  3. Step 3: Cross multiply
    738,196x = 1,140,006 × 1,140,006
  4. Step 4: Simplify right side
    738,196x = 1,299,613,680,036
  5. Step 5: Solve for x
    x = 1,299,613,680,036/738,196
  6. Step 6: Final answer
    x = 1,760,526.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.