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Finding the Third Proportional to 762,088 and 1,120,326

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Solution

The third proportional to 762,088 and 1,120,326 is: 1,646,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,088 : 1,120,326 = 1,120,326 : x
  2. Step 2: Convert to fraction form
    762,088/1,120,326 = 1,120,326/x
  3. Step 3: Cross multiply
    762,088x = 1,120,326 × 1,120,326
  4. Step 4: Simplify right side
    762,088x = 1,255,130,346,276
  5. Step 5: Solve for x
    x = 1,255,130,346,276/762,088
  6. Step 6: Final answer
    x = 1,646,962.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.