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Finding the Third Proportional to 296,447,692 and 643,927,784

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Solution

The third proportional to 296,447,692 and 643,927,784 is: 1,398,705,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,447,692 : 643,927,784 = 643,927,784 : x
  2. Step 2: Convert to fraction form
    296,447,692/643,927,784 = 643,927,784/x
  3. Step 3: Cross multiply
    296,447,692x = 643,927,784 × 643,927,784
  4. Step 4: Simplify right side
    296,447,692x = 414,642,991,007,150,656
  5. Step 5: Solve for x
    x = 414,642,991,007,150,656/296,447,692
  6. Step 6: Final answer
    x = 1,398,705,411.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.