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Finding the Third Proportional to 562,929 and 1,148,781

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Solution

The third proportional to 562,929 and 1,148,781 is: 2,344,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,929 : 1,148,781 = 1,148,781 : x
  2. Step 2: Convert to fraction form
    562,929/1,148,781 = 1,148,781/x
  3. Step 3: Cross multiply
    562,929x = 1,148,781 × 1,148,781
  4. Step 4: Simplify right side
    562,929x = 1,319,697,785,961
  5. Step 5: Solve for x
    x = 1,319,697,785,961/562,929
  6. Step 6: Final answer
    x = 2,344,341.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.