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Finding the Third Proportional to 698,168,594 and 1,041,198,454.50

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Solution

The third proportional to 698,168,594 and 1,041,198,454.50 is: 1,552,768,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,168,594 : 1,041,198,454.50 = 1,041,198,454.50 : x
  2. Step 2: Convert to fraction form
    698,168,594/1,041,198,454.50 = 1,041,198,454.50/x
  3. Step 3: Cross multiply
    698,168,594x = 1,041,198,454.50 × 1,041,198,454.50
  4. Step 4: Simplify right side
    698,168,594x = 1,084,094,221,653,188,608
  5. Step 5: Solve for x
    x = 1,084,094,221,653,188,608/698,168,594
  6. Step 6: Final answer
    x = 1,552,768,530.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.