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Finding the Third Proportional to 393,048,560 and 841,311,096

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Solution

The third proportional to 393,048,560 and 841,311,096 is: 1,800,806,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,048,560 : 841,311,096 = 841,311,096 : x
  2. Step 2: Convert to fraction form
    393,048,560/841,311,096 = 841,311,096/x
  3. Step 3: Cross multiply
    393,048,560x = 841,311,096 × 841,311,096
  4. Step 4: Simplify right side
    393,048,560x = 707,804,360,252,721,152
  5. Step 5: Solve for x
    x = 707,804,360,252,721,152/393,048,560
  6. Step 6: Final answer
    x = 1,800,806,394.64

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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.