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Finding the Third Proportional to 787,140 and 1,688,952

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Solution

The third proportional to 787,140 and 1,688,952 is: 3,623,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,140 : 1,688,952 = 1,688,952 : x
  2. Step 2: Convert to fraction form
    787,140/1,688,952 = 1,688,952/x
  3. Step 3: Cross multiply
    787,140x = 1,688,952 × 1,688,952
  4. Step 4: Simplify right side
    787,140x = 2,852,558,858,304
  5. Step 5: Solve for x
    x = 2,852,558,858,304/787,140
  6. Step 6: Final answer
    x = 3,623,953.63

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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.