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Finding the Third Proportional to 408,789,378 and 896,721,259.50

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Solution

The third proportional to 408,789,378 and 896,721,259.50 is: 1,967,049,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,378 : 896,721,259.50 = 896,721,259.50 : x
  2. Step 2: Convert to fraction form
    408,789,378/896,721,259.50 = 896,721,259.50/x
  3. Step 3: Cross multiply
    408,789,378x = 896,721,259.50 × 896,721,259.50
  4. Step 4: Simplify right side
    408,789,378x = 804,109,017,239,266,304
  5. Step 5: Solve for x
    x = 804,109,017,239,266,304/408,789,378
  6. Step 6: Final answer
    x = 1,967,049,685.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.