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Finding the Third Proportional to 452,830,476 and 970,240,848

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Solution

The third proportional to 452,830,476 and 970,240,848 is: 2,078,851,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,830,476 : 970,240,848 = 970,240,848 : x
  2. Step 2: Convert to fraction form
    452,830,476/970,240,848 = 970,240,848/x
  3. Step 3: Cross multiply
    452,830,476x = 970,240,848 × 970,240,848
  4. Step 4: Simplify right side
    452,830,476x = 941,367,303,127,759,104
  5. Step 5: Solve for x
    x = 941,367,303,127,759,104/452,830,476
  6. Step 6: Final answer
    x = 2,078,851,475.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.