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Finding the Third Proportional to 703,496.25 and 1,069,461

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Solution

The third proportional to 703,496.25 and 1,069,461 is: 1,625,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,496.25 : 1,069,461 = 1,069,461 : x
  2. Step 2: Convert to fraction form
    703,496.25/1,069,461 = 1,069,461/x
  3. Step 3: Cross multiply
    703,496.25x = 1,069,461 × 1,069,461
  4. Step 4: Simplify right side
    703,496.25x = 1,143,746,830,521
  5. Step 5: Solve for x
    x = 1,143,746,830,521/703,496.25
  6. Step 6: Final answer
    x = 1,625,803.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.