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Finding the Third Proportional to 480,264,322 and 1,047,246,584

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Solution

The third proportional to 480,264,322 and 1,047,246,584 is: 2,283,587,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,264,322 : 1,047,246,584 = 1,047,246,584 : x
  2. Step 2: Convert to fraction form
    480,264,322/1,047,246,584 = 1,047,246,584/x
  3. Step 3: Cross multiply
    480,264,322x = 1,047,246,584 × 1,047,246,584
  4. Step 4: Simplify right side
    480,264,322x = 1,096,725,407,699,668,992
  5. Step 5: Solve for x
    x = 1,096,725,407,699,668,992/480,264,322
  6. Step 6: Final answer
    x = 2,283,587,094.57

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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.