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Finding the Third Proportional to 596,970 and 1,290,168

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Solution

The third proportional to 596,970 and 1,290,168 is: 2,788,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,970 : 1,290,168 = 1,290,168 : x
  2. Step 2: Convert to fraction form
    596,970/1,290,168 = 1,290,168/x
  3. Step 3: Cross multiply
    596,970x = 1,290,168 × 1,290,168
  4. Step 4: Simplify right side
    596,970x = 1,664,533,468,224
  5. Step 5: Solve for x
    x = 1,664,533,468,224/596,970
  6. Step 6: Final answer
    x = 2,788,303.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.