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Finding the Third Proportional to 858,471,574 and 1,859,560,516

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Solution

The third proportional to 858,471,574 and 1,859,560,516 is: 4,028,048,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,471,574 : 1,859,560,516 = 1,859,560,516 : x
  2. Step 2: Convert to fraction form
    858,471,574/1,859,560,516 = 1,859,560,516/x
  3. Step 3: Cross multiply
    858,471,574x = 1,859,560,516 × 1,859,560,516
  4. Step 4: Simplify right side
    858,471,574x = 3,457,965,312,666,186,240
  5. Step 5: Solve for x
    x = 3,457,965,312,666,186,240/858,471,574
  6. Step 6: Final answer
    x = 4,028,048,705.86

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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.