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Finding the Third Proportional to 1,035,004 and 1,570,014

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Solution

The third proportional to 1,035,004 and 1,570,014 is: 2,381,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,004 : 1,570,014 = 1,570,014 : x
  2. Step 2: Convert to fraction form
    1,035,004/1,570,014 = 1,570,014/x
  3. Step 3: Cross multiply
    1,035,004x = 1,570,014 × 1,570,014
  4. Step 4: Simplify right side
    1,035,004x = 2,464,943,960,196
  5. Step 5: Solve for x
    x = 2,464,943,960,196/1,035,004
  6. Step 6: Final answer
    x = 2,381,579.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.