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Finding the Third Proportional to 716,143 and 1,506,014

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Solution

The third proportional to 716,143 and 1,506,014 is: 3,167,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,143 : 1,506,014 = 1,506,014 : x
  2. Step 2: Convert to fraction form
    716,143/1,506,014 = 1,506,014/x
  3. Step 3: Cross multiply
    716,143x = 1,506,014 × 1,506,014
  4. Step 4: Simplify right side
    716,143x = 2,268,078,168,196
  5. Step 5: Solve for x
    x = 2,268,078,168,196/716,143
  6. Step 6: Final answer
    x = 3,167,074.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.