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Finding the Third Proportional to 870,468 and 1,845,480

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Solution

The third proportional to 870,468 and 1,845,480 is: 3,912,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,468 : 1,845,480 = 1,845,480 : x
  2. Step 2: Convert to fraction form
    870,468/1,845,480 = 1,845,480/x
  3. Step 3: Cross multiply
    870,468x = 1,845,480 × 1,845,480
  4. Step 4: Simplify right side
    870,468x = 3,405,796,430,400
  5. Step 5: Solve for x
    x = 3,405,796,430,400/870,468
  6. Step 6: Final answer
    x = 3,912,603.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.