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Finding the Third Proportional to 484,403,742 and 732,385,773

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Solution

The third proportional to 484,403,742 and 732,385,773 is: 1,107,317,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,403,742 : 732,385,773 = 732,385,773 : x
  2. Step 2: Convert to fraction form
    484,403,742/732,385,773 = 732,385,773/x
  3. Step 3: Cross multiply
    484,403,742x = 732,385,773 × 732,385,773
  4. Step 4: Simplify right side
    484,403,742x = 536,388,920,492,807,552
  5. Step 5: Solve for x
    x = 536,388,920,492,807,552/484,403,742
  6. Step 6: Final answer
    x = 1,107,317,871.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.