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Finding the Third Proportional to 871,594 and 1,883,237

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Solution

The third proportional to 871,594 and 1,883,237 is: 4,069,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,594 : 1,883,237 = 1,883,237 : x
  2. Step 2: Convert to fraction form
    871,594/1,883,237 = 1,883,237/x
  3. Step 3: Cross multiply
    871,594x = 1,883,237 × 1,883,237
  4. Step 4: Simplify right side
    871,594x = 3,546,581,598,169
  5. Step 5: Solve for x
    x = 3,546,581,598,169/871,594
  6. Step 6: Final answer
    x = 4,069,075.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.