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Finding the Third Proportional to 700,926 and 1,050,222

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Solution

The third proportional to 700,926 and 1,050,222 is: 1,573,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,926 : 1,050,222 = 1,050,222 : x
  2. Step 2: Convert to fraction form
    700,926/1,050,222 = 1,050,222/x
  3. Step 3: Cross multiply
    700,926x = 1,050,222 × 1,050,222
  4. Step 4: Simplify right side
    700,926x = 1,102,966,249,284
  5. Step 5: Solve for x
    x = 1,102,966,249,284/700,926
  6. Step 6: Final answer
    x = 1,573,584.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.