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Finding the Third Proportional to 763,498 and 1,724,953

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Solution

The third proportional to 763,498 and 1,724,953 is: 3,897,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,498 : 1,724,953 = 1,724,953 : x
  2. Step 2: Convert to fraction form
    763,498/1,724,953 = 1,724,953/x
  3. Step 3: Cross multiply
    763,498x = 1,724,953 × 1,724,953
  4. Step 4: Simplify right side
    763,498x = 2,975,462,852,209
  5. Step 5: Solve for x
    x = 2,975,462,852,209/763,498
  6. Step 6: Final answer
    x = 3,897,145.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.