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Finding the Third Proportional to 265,254,924 and 570,820,634

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Solution

The third proportional to 265,254,924 and 570,820,634 is: 1,228,388,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,254,924 : 570,820,634 = 570,820,634 : x
  2. Step 2: Convert to fraction form
    265,254,924/570,820,634 = 570,820,634/x
  3. Step 3: Cross multiply
    265,254,924x = 570,820,634 × 570,820,634
  4. Step 4: Simplify right side
    265,254,924x = 325,836,196,200,161,984
  5. Step 5: Solve for x
    x = 325,836,196,200,161,984/265,254,924
  6. Step 6: Final answer
    x = 1,228,388,869.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.