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Finding the Third Proportional to 830,088 and 1,248,480

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Solution

The third proportional to 830,088 and 1,248,480 is: 1,877,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,088 : 1,248,480 = 1,248,480 : x
  2. Step 2: Convert to fraction form
    830,088/1,248,480 = 1,248,480/x
  3. Step 3: Cross multiply
    830,088x = 1,248,480 × 1,248,480
  4. Step 4: Simplify right side
    830,088x = 1,558,702,310,400
  5. Step 5: Solve for x
    x = 1,558,702,310,400/830,088
  6. Step 6: Final answer
    x = 1,877,755.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.