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Finding the Third Proportional to 697,987.13 and 1,019,271.09

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Solution

The third proportional to 697,987.13 and 1,019,271.09 is: 1,488,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,987.13 : 1,019,271.09 = 1,019,271.09 : x
  2. Step 2: Convert to fraction form
    697,987.13/1,019,271.09 = 1,019,271.09/x
  3. Step 3: Cross multiply
    697,987.13x = 1,019,271.09 × 1,019,271.09
  4. Step 4: Simplify right side
    697,987.13x = 1,038,913,562,554.32
  5. Step 5: Solve for x
    x = 1,038,913,562,554.32/697,987.13
  6. Step 6: Final answer
    x = 1,488,442.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.