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Finding the Third Proportional to 670,707 and 1,012,365

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Solution

The third proportional to 670,707 and 1,012,365 is: 1,528,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,707 : 1,012,365 = 1,012,365 : x
  2. Step 2: Convert to fraction form
    670,707/1,012,365 = 1,012,365/x
  3. Step 3: Cross multiply
    670,707x = 1,012,365 × 1,012,365
  4. Step 4: Simplify right side
    670,707x = 1,024,882,893,225
  5. Step 5: Solve for x
    x = 1,024,882,893,225/670,707
  6. Step 6: Final answer
    x = 1,528,063.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.