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Finding the Third Proportional to 594,470 and 1,281,820

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Solution

The third proportional to 594,470 and 1,281,820 is: 2,763,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,470 : 1,281,820 = 1,281,820 : x
  2. Step 2: Convert to fraction form
    594,470/1,281,820 = 1,281,820/x
  3. Step 3: Cross multiply
    594,470x = 1,281,820 × 1,281,820
  4. Step 4: Simplify right side
    594,470x = 1,643,062,512,400
  5. Step 5: Solve for x
    x = 1,643,062,512,400/594,470
  6. Step 6: Final answer
    x = 2,763,911.57

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