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Finding the Third Proportional to 757,249,983 and 1,131,701,352

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Solution

The third proportional to 757,249,983 and 1,131,701,352 is: 1,691,314,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,249,983 : 1,131,701,352 = 1,131,701,352 : x
  2. Step 2: Convert to fraction form
    757,249,983/1,131,701,352 = 1,131,701,352/x
  3. Step 3: Cross multiply
    757,249,983x = 1,131,701,352 × 1,131,701,352
  4. Step 4: Simplify right side
    757,249,983x = 1,280,747,950,118,627,840
  5. Step 5: Solve for x
    x = 1,280,747,950,118,627,840/757,249,983
  6. Step 6: Final answer
    x = 1,691,314,597.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.