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Finding the Third Proportional to 552,289,480 and 857,534,706

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Solution

The third proportional to 552,289,480 and 857,534,706 is: 1,331,486,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,289,480 : 857,534,706 = 857,534,706 : x
  2. Step 2: Convert to fraction form
    552,289,480/857,534,706 = 857,534,706/x
  3. Step 3: Cross multiply
    552,289,480x = 857,534,706 × 857,534,706
  4. Step 4: Simplify right side
    552,289,480x = 735,365,771,994,506,496
  5. Step 5: Solve for x
    x = 735,365,771,994,506,496/552,289,480
  6. Step 6: Final answer
    x = 1,331,486,111.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.