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Finding the Third Proportional to 529,120 and 1,248,804

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Solution

The third proportional to 529,120 and 1,248,804 is: 2,947,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,120 : 1,248,804 = 1,248,804 : x
  2. Step 2: Convert to fraction form
    529,120/1,248,804 = 1,248,804/x
  3. Step 3: Cross multiply
    529,120x = 1,248,804 × 1,248,804
  4. Step 4: Simplify right side
    529,120x = 1,559,511,430,416
  5. Step 5: Solve for x
    x = 1,559,511,430,416/529,120
  6. Step 6: Final answer
    x = 2,947,368.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.