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Finding the Third Proportional to 697,718 and 1,506,964

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Solution

The third proportional to 697,718 and 1,506,964 is: 3,254,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,718 : 1,506,964 = 1,506,964 : x
  2. Step 2: Convert to fraction form
    697,718/1,506,964 = 1,506,964/x
  3. Step 3: Cross multiply
    697,718x = 1,506,964 × 1,506,964
  4. Step 4: Simplify right side
    697,718x = 2,270,940,497,296
  5. Step 5: Solve for x
    x = 2,270,940,497,296/697,718
  6. Step 6: Final answer
    x = 3,254,811.40

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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.