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Finding the Third Proportional to 815,580 and 1,688,508

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Solution

The third proportional to 815,580 and 1,688,508 is: 3,495,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,580 : 1,688,508 = 1,688,508 : x
  2. Step 2: Convert to fraction form
    815,580/1,688,508 = 1,688,508/x
  3. Step 3: Cross multiply
    815,580x = 1,688,508 × 1,688,508
  4. Step 4: Simplify right side
    815,580x = 2,851,059,266,064
  5. Step 5: Solve for x
    x = 2,851,059,266,064/815,580
  6. Step 6: Final answer
    x = 3,495,744.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.