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Finding the Third Proportional to 299,426,343 and 651,577,954

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Solution

The third proportional to 299,426,343 and 651,577,954 is: 1,417,890,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,426,343 : 651,577,954 = 651,577,954 : x
  2. Step 2: Convert to fraction form
    299,426,343/651,577,954 = 651,577,954/x
  3. Step 3: Cross multiply
    299,426,343x = 651,577,954 × 651,577,954
  4. Step 4: Simplify right side
    299,426,343x = 424,553,830,138,826,112
  5. Step 5: Solve for x
    x = 424,553,830,138,826,112/299,426,343
  6. Step 6: Final answer
    x = 1,417,890,710.23

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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.