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Finding the Third Proportional to 815,264 and 1,688,128

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Solution

The third proportional to 815,264 and 1,688,128 is: 3,495,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,264 : 1,688,128 = 1,688,128 : x
  2. Step 2: Convert to fraction form
    815,264/1,688,128 = 1,688,128/x
  3. Step 3: Cross multiply
    815,264x = 1,688,128 × 1,688,128
  4. Step 4: Simplify right side
    815,264x = 2,849,776,144,384
  5. Step 5: Solve for x
    x = 2,849,776,144,384/815,264
  6. Step 6: Final answer
    x = 3,495,525.55

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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.