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Finding the Third Proportional to 978,644 and 1,430,202

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Solution

The third proportional to 978,644 and 1,430,202 is: 2,090,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,644 : 1,430,202 = 1,430,202 : x
  2. Step 2: Convert to fraction form
    978,644/1,430,202 = 1,430,202/x
  3. Step 3: Cross multiply
    978,644x = 1,430,202 × 1,430,202
  4. Step 4: Simplify right side
    978,644x = 2,045,477,760,804
  5. Step 5: Solve for x
    x = 2,045,477,760,804/978,644
  6. Step 6: Final answer
    x = 2,090,114.24

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