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Finding the Third Proportional to 1,774,677 and 2,897,581

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Solution

The third proportional to 1,774,677 and 2,897,581 is: 4,730,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,677 : 2,897,581 = 2,897,581 : x
  2. Step 2: Convert to fraction form
    1,774,677/2,897,581 = 2,897,581/x
  3. Step 3: Cross multiply
    1,774,677x = 2,897,581 × 2,897,581
  4. Step 4: Simplify right side
    1,774,677x = 8,395,975,651,561
  5. Step 5: Solve for x
    x = 8,395,975,651,561/1,774,677
  6. Step 6: Final answer
    x = 4,730,988.03

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.