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Finding the Third Proportional to 697,711 and 1,506,950

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Solution

The third proportional to 697,711 and 1,506,950 is: 3,254,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,711 : 1,506,950 = 1,506,950 : x
  2. Step 2: Convert to fraction form
    697,711/1,506,950 = 1,506,950/x
  3. Step 3: Cross multiply
    697,711x = 1,506,950 × 1,506,950
  4. Step 4: Simplify right side
    697,711x = 2,270,898,302,500
  5. Step 5: Solve for x
    x = 2,270,898,302,500/697,711
  6. Step 6: Final answer
    x = 3,254,783.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.