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Finding the Third Proportional to 600,980,590.13 and 1,304,750,724.75

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Solution

The third proportional to 600,980,590.13 and 1,304,750,724.75 is: 2,832,661,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,980,590.13 : 1,304,750,724.75 = 1,304,750,724.75 : x
  2. Step 2: Convert to fraction form
    600,980,590.13/1,304,750,724.75 = 1,304,750,724.75/x
  3. Step 3: Cross multiply
    600,980,590.13x = 1,304,750,724.75 × 1,304,750,724.75
  4. Step 4: Simplify right side
    600,980,590.13x = 1,702,374,453,735,650,304
  5. Step 5: Solve for x
    x = 1,702,374,453,735,650,304/600,980,590.13
  6. Step 6: Final answer
    x = 2,832,661,290.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.