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Finding the Third Proportional to 514,007,094 and 783,056,646

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Solution

The third proportional to 514,007,094 and 783,056,646 is: 1,192,936,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,007,094 : 783,056,646 = 783,056,646 : x
  2. Step 2: Convert to fraction form
    514,007,094/783,056,646 = 783,056,646/x
  3. Step 3: Cross multiply
    514,007,094x = 783,056,646 × 783,056,646
  4. Step 4: Simplify right side
    514,007,094x = 613,177,710,844,769,280
  5. Step 5: Solve for x
    x = 613,177,710,844,769,280/514,007,094
  6. Step 6: Final answer
    x = 1,192,936,280.46

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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.