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Finding the Third Proportional to 700,006 and 1,049,792

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Solution

The third proportional to 700,006 and 1,049,792 is: 1,574,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,006 : 1,049,792 = 1,049,792 : x
  2. Step 2: Convert to fraction form
    700,006/1,049,792 = 1,049,792/x
  3. Step 3: Cross multiply
    700,006x = 1,049,792 × 1,049,792
  4. Step 4: Simplify right side
    700,006x = 1,102,063,243,264
  5. Step 5: Solve for x
    x = 1,102,063,243,264/700,006
  6. Step 6: Final answer
    x = 1,574,362.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.