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Finding the Third Proportional to 501,829,984 and 1,044,900,176

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Solution

The third proportional to 501,829,984 and 1,044,900,176 is: 2,175,669,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,829,984 : 1,044,900,176 = 1,044,900,176 : x
  2. Step 2: Convert to fraction form
    501,829,984/1,044,900,176 = 1,044,900,176/x
  3. Step 3: Cross multiply
    501,829,984x = 1,044,900,176 × 1,044,900,176
  4. Step 4: Simplify right side
    501,829,984x = 1,091,816,377,804,830,976
  5. Step 5: Solve for x
    x = 1,091,816,377,804,830,976/501,829,984
  6. Step 6: Final answer
    x = 2,175,669,873.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.