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Finding the Third Proportional to 1,070,820 and 1,658,070

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Solution

The third proportional to 1,070,820 and 1,658,070 is: 2,567,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,820 : 1,658,070 = 1,658,070 : x
  2. Step 2: Convert to fraction form
    1,070,820/1,658,070 = 1,658,070/x
  3. Step 3: Cross multiply
    1,070,820x = 1,658,070 × 1,658,070
  4. Step 4: Simplify right side
    1,070,820x = 2,749,196,124,900
  5. Step 5: Solve for x
    x = 2,749,196,124,900/1,070,820
  6. Step 6: Final answer
    x = 2,567,374.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.