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Finding the Third Proportional to 297,110,646 and 651,617,028

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Solution

The third proportional to 297,110,646 and 651,617,028 is: 1,429,113,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,110,646 : 651,617,028 = 651,617,028 : x
  2. Step 2: Convert to fraction form
    297,110,646/651,617,028 = 651,617,028/x
  3. Step 3: Cross multiply
    297,110,646x = 651,617,028 × 651,617,028
  4. Step 4: Simplify right side
    297,110,646x = 424,604,751,179,552,768
  5. Step 5: Solve for x
    x = 424,604,751,179,552,768/297,110,646
  6. Step 6: Final answer
    x = 1,429,113,217.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.