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Finding the Third Proportional to 671,364 and 1,459,596

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Solution

The third proportional to 671,364 and 1,459,596 is: 3,173,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,364 : 1,459,596 = 1,459,596 : x
  2. Step 2: Convert to fraction form
    671,364/1,459,596 = 1,459,596/x
  3. Step 3: Cross multiply
    671,364x = 1,459,596 × 1,459,596
  4. Step 4: Simplify right side
    671,364x = 2,130,420,483,216
  5. Step 5: Solve for x
    x = 2,130,420,483,216/671,364
  6. Step 6: Final answer
    x = 3,173,271.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.