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Finding the Third Proportional to 822,830,886 and 1,757,254,644

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Solution

The third proportional to 822,830,886 and 1,757,254,644 is: 3,752,829,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,830,886 : 1,757,254,644 = 1,757,254,644 : x
  2. Step 2: Convert to fraction form
    822,830,886/1,757,254,644 = 1,757,254,644/x
  3. Step 3: Cross multiply
    822,830,886x = 1,757,254,644 × 1,757,254,644
  4. Step 4: Simplify right side
    822,830,886x = 3,087,943,883,859,566,592
  5. Step 5: Solve for x
    x = 3,087,943,883,859,566,592/822,830,886
  6. Step 6: Final answer
    x = 3,752,829,331.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.