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Finding the Third Proportional to 818,820 and 1,762,056

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Solution

The third proportional to 818,820 and 1,762,056 is: 3,791,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,820 : 1,762,056 = 1,762,056 : x
  2. Step 2: Convert to fraction form
    818,820/1,762,056 = 1,762,056/x
  3. Step 3: Cross multiply
    818,820x = 1,762,056 × 1,762,056
  4. Step 4: Simplify right side
    818,820x = 3,104,841,347,136
  5. Step 5: Solve for x
    x = 3,104,841,347,136/818,820
  6. Step 6: Final answer
    x = 3,791,848.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.