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Finding the Third Proportional to 706,908 and 1,070,658

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Solution

The third proportional to 706,908 and 1,070,658 is: 1,621,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,908 : 1,070,658 = 1,070,658 : x
  2. Step 2: Convert to fraction form
    706,908/1,070,658 = 1,070,658/x
  3. Step 3: Cross multiply
    706,908x = 1,070,658 × 1,070,658
  4. Step 4: Simplify right side
    706,908x = 1,146,308,552,964
  5. Step 5: Solve for x
    x = 1,146,308,552,964/706,908
  6. Step 6: Final answer
    x = 1,621,580.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.