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Finding the Third Proportional to 670,089 and 1,036,239

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Solution

The third proportional to 670,089 and 1,036,239 is: 1,602,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,089 : 1,036,239 = 1,036,239 : x
  2. Step 2: Convert to fraction form
    670,089/1,036,239 = 1,036,239/x
  3. Step 3: Cross multiply
    670,089x = 1,036,239 × 1,036,239
  4. Step 4: Simplify right side
    670,089x = 1,073,791,265,121
  5. Step 5: Solve for x
    x = 1,073,791,265,121/670,089
  6. Step 6: Final answer
    x = 1,602,460.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.