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Finding the Third Proportional to 408,046,389 and 885,371,089

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Solution

The third proportional to 408,046,389 and 885,371,089 is: 1,921,060,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,389 : 885,371,089 = 885,371,089 : x
  2. Step 2: Convert to fraction form
    408,046,389/885,371,089 = 885,371,089/x
  3. Step 3: Cross multiply
    408,046,389x = 885,371,089 × 885,371,089
  4. Step 4: Simplify right side
    408,046,389x = 783,881,965,237,045,888
  5. Step 5: Solve for x
    x = 783,881,965,237,045,888/408,046,389
  6. Step 6: Final answer
    x = 1,921,060,904.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.