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Finding the Third Proportional to 707,908,597 and 984,290,320

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Solution

The third proportional to 707,908,597 and 984,290,320 is: 1,368,577,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,908,597 : 984,290,320 = 984,290,320 : x
  2. Step 2: Convert to fraction form
    707,908,597/984,290,320 = 984,290,320/x
  3. Step 3: Cross multiply
    707,908,597x = 984,290,320 × 984,290,320
  4. Step 4: Simplify right side
    707,908,597x = 968,827,434,045,702,400
  5. Step 5: Solve for x
    x = 968,827,434,045,702,400/707,908,597
  6. Step 6: Final answer
    x = 1,368,577,014.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.