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Finding the Third Proportional to 689,464,896 and 1,097,605,280

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Solution

The third proportional to 689,464,896 and 1,097,605,280 is: 1,747,351,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,464,896 : 1,097,605,280 = 1,097,605,280 : x
  2. Step 2: Convert to fraction form
    689,464,896/1,097,605,280 = 1,097,605,280/x
  3. Step 3: Cross multiply
    689,464,896x = 1,097,605,280 × 1,097,605,280
  4. Step 4: Simplify right side
    689,464,896x = 1,204,737,350,683,878,400
  5. Step 5: Solve for x
    x = 1,204,737,350,683,878,400/689,464,896
  6. Step 6: Final answer
    x = 1,747,351,254.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.