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Finding the Third Proportional to 545,346 and 1,140,804

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Solution

The third proportional to 545,346 and 1,140,804 is: 2,386,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,346 : 1,140,804 = 1,140,804 : x
  2. Step 2: Convert to fraction form
    545,346/1,140,804 = 1,140,804/x
  3. Step 3: Cross multiply
    545,346x = 1,140,804 × 1,140,804
  4. Step 4: Simplify right side
    545,346x = 1,301,433,766,416
  5. Step 5: Solve for x
    x = 1,301,433,766,416/545,346
  6. Step 6: Final answer
    x = 2,386,436.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.