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Finding the Third Proportional to 1,602,597 and 3,264,558

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Solution

The third proportional to 1,602,597 and 3,264,558 is: 6,650,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,597 : 3,264,558 = 3,264,558 : x
  2. Step 2: Convert to fraction form
    1,602,597/3,264,558 = 3,264,558/x
  3. Step 3: Cross multiply
    1,602,597x = 3,264,558 × 3,264,558
  4. Step 4: Simplify right side
    1,602,597x = 10,657,338,935,364
  5. Step 5: Solve for x
    x = 10,657,338,935,364/1,602,597
  6. Step 6: Final answer
    x = 6,650,042.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.