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Finding the Third Proportional to 433,693,415 and 660,703,931

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Solution

The third proportional to 433,693,415 and 660,703,931 is: 1,006,539,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,693,415 : 660,703,931 = 660,703,931 : x
  2. Step 2: Convert to fraction form
    433,693,415/660,703,931 = 660,703,931/x
  3. Step 3: Cross multiply
    433,693,415x = 660,703,931 × 660,703,931
  4. Step 4: Simplify right side
    433,693,415x = 436,529,684,438,852,736
  5. Step 5: Solve for x
    x = 436,529,684,438,852,736/433,693,415
  6. Step 6: Final answer
    x = 1,006,539,802.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.