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Finding the Third Proportional to 585,360 and 1,276,803

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Solution

The third proportional to 585,360 and 1,276,803 is: 2,784,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,360 : 1,276,803 = 1,276,803 : x
  2. Step 2: Convert to fraction form
    585,360/1,276,803 = 1,276,803/x
  3. Step 3: Cross multiply
    585,360x = 1,276,803 × 1,276,803
  4. Step 4: Simplify right side
    585,360x = 1,630,225,900,809
  5. Step 5: Solve for x
    x = 1,630,225,900,809/585,360
  6. Step 6: Final answer
    x = 2,784,997.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.