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Finding the Third Proportional to 562,788 and 1,163,034

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Solution

The third proportional to 562,788 and 1,163,034 is: 2,403,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,788 : 1,163,034 = 1,163,034 : x
  2. Step 2: Convert to fraction form
    562,788/1,163,034 = 1,163,034/x
  3. Step 3: Cross multiply
    562,788x = 1,163,034 × 1,163,034
  4. Step 4: Simplify right side
    562,788x = 1,352,648,085,156
  5. Step 5: Solve for x
    x = 1,352,648,085,156/562,788
  6. Step 6: Final answer
    x = 2,403,477.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.