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Finding the Third Proportional to 870,598 and 1,232,997

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Solution

The third proportional to 870,598 and 1,232,997 is: 1,746,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,598 : 1,232,997 = 1,232,997 : x
  2. Step 2: Convert to fraction form
    870,598/1,232,997 = 1,232,997/x
  3. Step 3: Cross multiply
    870,598x = 1,232,997 × 1,232,997
  4. Step 4: Simplify right side
    870,598x = 1,520,281,602,009
  5. Step 5: Solve for x
    x = 1,520,281,602,009/870,598
  6. Step 6: Final answer
    x = 1,746,249.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.