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Finding the Third Proportional to 570,448,671 and 1,250,256,090

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Solution

The third proportional to 570,448,671 and 1,250,256,090 is: 2,740,194,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,448,671 : 1,250,256,090 = 1,250,256,090 : x
  2. Step 2: Convert to fraction form
    570,448,671/1,250,256,090 = 1,250,256,090/x
  3. Step 3: Cross multiply
    570,448,671x = 1,250,256,090 × 1,250,256,090
  4. Step 4: Simplify right side
    570,448,671x = 1,563,140,290,582,088,192
  5. Step 5: Solve for x
    x = 1,563,140,290,582,088,192/570,448,671
  6. Step 6: Final answer
    x = 2,740,194,464.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.