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Finding the Third Proportional to 473,619 and 1,014,792

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Solution

The third proportional to 473,619 and 1,014,792 is: 2,174,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,619 : 1,014,792 = 1,014,792 : x
  2. Step 2: Convert to fraction form
    473,619/1,014,792 = 1,014,792/x
  3. Step 3: Cross multiply
    473,619x = 1,014,792 × 1,014,792
  4. Step 4: Simplify right side
    473,619x = 1,029,802,803,264
  5. Step 5: Solve for x
    x = 1,029,802,803,264/473,619
  6. Step 6: Final answer
    x = 2,174,327.47

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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.