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Finding the Third Proportional to 749,196 and 1,148,796

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Solution

The third proportional to 749,196 and 1,148,796 is: 1,761,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,196 : 1,148,796 = 1,148,796 : x
  2. Step 2: Convert to fraction form
    749,196/1,148,796 = 1,148,796/x
  3. Step 3: Cross multiply
    749,196x = 1,148,796 × 1,148,796
  4. Step 4: Simplify right side
    749,196x = 1,319,732,249,616
  5. Step 5: Solve for x
    x = 1,319,732,249,616/749,196
  6. Step 6: Final answer
    x = 1,761,531.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.