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Finding the Third Proportional to 697,709 and 1,506,946

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Solution

The third proportional to 697,709 and 1,506,946 is: 3,254,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,709 : 1,506,946 = 1,506,946 : x
  2. Step 2: Convert to fraction form
    697,709/1,506,946 = 1,506,946/x
  3. Step 3: Cross multiply
    697,709x = 1,506,946 × 1,506,946
  4. Step 4: Simplify right side
    697,709x = 2,270,886,246,916
  5. Step 5: Solve for x
    x = 2,270,886,246,916/697,709
  6. Step 6: Final answer
    x = 3,254,775.63

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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.