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Finding the Third Proportional to 918,515 and 1,946,534

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Solution

The third proportional to 918,515 and 1,946,534 is: 4,125,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,515 : 1,946,534 = 1,946,534 : x
  2. Step 2: Convert to fraction form
    918,515/1,946,534 = 1,946,534/x
  3. Step 3: Cross multiply
    918,515x = 1,946,534 × 1,946,534
  4. Step 4: Simplify right side
    918,515x = 3,788,994,613,156
  5. Step 5: Solve for x
    x = 3,788,994,613,156/918,515
  6. Step 6: Final answer
    x = 4,125,130.90

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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.