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Finding the Third Proportional to 822,684,622 and 1,779,554,403

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Solution

The third proportional to 822,684,622 and 1,779,554,403 is: 3,849,365,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,684,622 : 1,779,554,403 = 1,779,554,403 : x
  2. Step 2: Convert to fraction form
    822,684,622/1,779,554,403 = 1,779,554,403/x
  3. Step 3: Cross multiply
    822,684,622x = 1,779,554,403 × 1,779,554,403
  4. Step 4: Simplify right side
    822,684,622x = 3,166,813,873,236,686,336
  5. Step 5: Solve for x
    x = 3,166,813,873,236,686,336/822,684,622
  6. Step 6: Final answer
    x = 3,849,365,587.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.