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Finding the Third Proportional to 649,413.70 and 1,018,730.67

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Solution

The third proportional to 649,413.70 and 1,018,730.67 is: 1,598,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,413.70 : 1,018,730.67 = 1,018,730.67 : x
  2. Step 2: Convert to fraction form
    649,413.70/1,018,730.67 = 1,018,730.67/x
  3. Step 3: Cross multiply
    649,413.70x = 1,018,730.67 × 1,018,730.67
  4. Step 4: Simplify right side
    649,413.70x = 1,037,812,181,818.89
  5. Step 5: Solve for x
    x = 1,037,812,181,818.89/649,413.70
  6. Step 6: Final answer
    x = 1,598,075.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.