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Finding the Third Proportional to 692,053 and 1,487,570

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Solution

The third proportional to 692,053 and 1,487,570 is: 3,197,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,053 : 1,487,570 = 1,487,570 : x
  2. Step 2: Convert to fraction form
    692,053/1,487,570 = 1,487,570/x
  3. Step 3: Cross multiply
    692,053x = 1,487,570 × 1,487,570
  4. Step 4: Simplify right side
    692,053x = 2,212,864,504,900
  5. Step 5: Solve for x
    x = 2,212,864,504,900/692,053
  6. Step 6: Final answer
    x = 3,197,536.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.