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Finding the Third Proportional to 408,046,028 and 885,370,376

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Solution

The third proportional to 408,046,028 and 885,370,376 is: 1,921,059,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,028 : 885,370,376 = 885,370,376 : x
  2. Step 2: Convert to fraction form
    408,046,028/885,370,376 = 885,370,376/x
  3. Step 3: Cross multiply
    408,046,028x = 885,370,376 × 885,370,376
  4. Step 4: Simplify right side
    408,046,028x = 783,880,702,698,381,312
  5. Step 5: Solve for x
    x = 783,880,702,698,381,312/408,046,028
  6. Step 6: Final answer
    x = 1,921,059,510.22

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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.