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Finding the Third Proportional to 433,051,706 and 1,021,924,517

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Solution

The third proportional to 433,051,706 and 1,021,924,517 is: 2,411,558,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,051,706 : 1,021,924,517 = 1,021,924,517 : x
  2. Step 2: Convert to fraction form
    433,051,706/1,021,924,517 = 1,021,924,517/x
  3. Step 3: Cross multiply
    433,051,706x = 1,021,924,517 × 1,021,924,517
  4. Step 4: Simplify right side
    433,051,706x = 1,044,329,718,445,683,328
  5. Step 5: Solve for x
    x = 1,044,329,718,445,683,328/433,051,706
  6. Step 6: Final answer
    x = 2,411,558,952.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.