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Finding the Third Proportional to 697,368 and 1,473,072

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Solution

The third proportional to 697,368 and 1,473,072 is: 3,111,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,368 : 1,473,072 = 1,473,072 : x
  2. Step 2: Convert to fraction form
    697,368/1,473,072 = 1,473,072/x
  3. Step 3: Cross multiply
    697,368x = 1,473,072 × 1,473,072
  4. Step 4: Simplify right side
    697,368x = 2,169,941,117,184
  5. Step 5: Solve for x
    x = 2,169,941,117,184/697,368
  6. Step 6: Final answer
    x = 3,111,615.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.