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Finding the Third Proportional to 920,304 and 1,968,534

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Solution

The third proportional to 920,304 and 1,968,534 is: 4,210,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,304 : 1,968,534 = 1,968,534 : x
  2. Step 2: Convert to fraction form
    920,304/1,968,534 = 1,968,534/x
  3. Step 3: Cross multiply
    920,304x = 1,968,534 × 1,968,534
  4. Step 4: Simplify right side
    920,304x = 3,875,126,109,156
  5. Step 5: Solve for x
    x = 3,875,126,109,156/920,304
  6. Step 6: Final answer
    x = 4,210,702.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.