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Finding the Third Proportional to 938,506,546 and 1,379,028,750

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Solution

The third proportional to 938,506,546 and 1,379,028,750 is: 2,026,326,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,506,546 : 1,379,028,750 = 1,379,028,750 : x
  2. Step 2: Convert to fraction form
    938,506,546/1,379,028,750 = 1,379,028,750/x
  3. Step 3: Cross multiply
    938,506,546x = 1,379,028,750 × 1,379,028,750
  4. Step 4: Simplify right side
    938,506,546x = 1,901,720,293,326,562,560
  5. Step 5: Solve for x
    x = 1,901,720,293,326,562,560/938,506,546
  6. Step 6: Final answer
    x = 2,026,326,083.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.