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Finding the Third Proportional to 297,110,648 and 651,617,032

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Solution

The third proportional to 297,110,648 and 651,617,032 is: 1,429,113,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,110,648 : 651,617,032 = 651,617,032 : x
  2. Step 2: Convert to fraction form
    297,110,648/651,617,032 = 651,617,032/x
  3. Step 3: Cross multiply
    297,110,648x = 651,617,032 × 651,617,032
  4. Step 4: Simplify right side
    297,110,648x = 424,604,756,392,489,024
  5. Step 5: Solve for x
    x = 424,604,756,392,489,024/297,110,648
  6. Step 6: Final answer
    x = 1,429,113,225.16

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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.