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Finding the Third Proportional to 794,564,307 and 1,710,562,806

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Solution

The third proportional to 794,564,307 and 1,710,562,806 is: 3,682,552,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,564,307 : 1,710,562,806 = 1,710,562,806 : x
  2. Step 2: Convert to fraction form
    794,564,307/1,710,562,806 = 1,710,562,806/x
  3. Step 3: Cross multiply
    794,564,307x = 1,710,562,806 × 1,710,562,806
  4. Step 4: Simplify right side
    794,564,307x = 2,926,025,113,270,593,536
  5. Step 5: Solve for x
    x = 2,926,025,113,270,593,536/794,564,307
  6. Step 6: Final answer
    x = 3,682,552,925.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.