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Finding the Third Proportional to 882,710 and 1,871,347

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Solution

The third proportional to 882,710 and 1,871,347 is: 3,967,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,710 : 1,871,347 = 1,871,347 : x
  2. Step 2: Convert to fraction form
    882,710/1,871,347 = 1,871,347/x
  3. Step 3: Cross multiply
    882,710x = 1,871,347 × 1,871,347
  4. Step 4: Simplify right side
    882,710x = 3,501,939,594,409
  5. Step 5: Solve for x
    x = 3,501,939,594,409/882,710
  6. Step 6: Final answer
    x = 3,967,259.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.