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Finding the Third Proportional to 697,700 and 1,506,928

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Solution

The third proportional to 697,700 and 1,506,928 is: 3,254,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,700 : 1,506,928 = 1,506,928 : x
  2. Step 2: Convert to fraction form
    697,700/1,506,928 = 1,506,928/x
  3. Step 3: Cross multiply
    697,700x = 1,506,928 × 1,506,928
  4. Step 4: Simplify right side
    697,700x = 2,270,831,997,184
  5. Step 5: Solve for x
    x = 2,270,831,997,184/697,700
  6. Step 6: Final answer
    x = 3,254,739.86

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