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Finding the Third Proportional to 299,426,364 and 651,578,001

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Solution

The third proportional to 299,426,364 and 651,578,001 is: 1,417,890,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,426,364 : 651,578,001 = 651,578,001 : x
  2. Step 2: Convert to fraction form
    299,426,364/651,578,001 = 651,578,001/x
  3. Step 3: Cross multiply
    299,426,364x = 651,578,001 × 651,578,001
  4. Step 4: Simplify right side
    299,426,364x = 424,553,891,387,156,032
  5. Step 5: Solve for x
    x = 424,553,891,387,156,032/299,426,364
  6. Step 6: Final answer
    x = 1,417,890,815.34

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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.