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Finding the Third Proportional to 666,929 and 1,460,353

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Solution

The third proportional to 666,929 and 1,460,353 is: 3,197,688.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,929 : 1,460,353 = 1,460,353 : x
  2. Step 2: Convert to fraction form
    666,929/1,460,353 = 1,460,353/x
  3. Step 3: Cross multiply
    666,929x = 1,460,353 × 1,460,353
  4. Step 4: Simplify right side
    666,929x = 2,132,630,884,609
  5. Step 5: Solve for x
    x = 2,132,630,884,609/666,929
  6. Step 6: Final answer
    x = 3,197,688.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.