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Finding the Third Proportional to 832,712 and 1,317,272

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Solution

The third proportional to 832,712 and 1,317,272 is: 2,083,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,712 : 1,317,272 = 1,317,272 : x
  2. Step 2: Convert to fraction form
    832,712/1,317,272 = 1,317,272/x
  3. Step 3: Cross multiply
    832,712x = 1,317,272 × 1,317,272
  4. Step 4: Simplify right side
    832,712x = 1,735,205,521,984
  5. Step 5: Solve for x
    x = 1,735,205,521,984/832,712
  6. Step 6: Final answer
    x = 2,083,800.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.