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Finding the Third Proportional to 430,022 and 917,076

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Solution

The third proportional to 430,022 and 917,076 is: 1,955,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,022 : 917,076 = 917,076 : x
  2. Step 2: Convert to fraction form
    430,022/917,076 = 917,076/x
  3. Step 3: Cross multiply
    430,022x = 917,076 × 917,076
  4. Step 4: Simplify right side
    430,022x = 841,028,389,776
  5. Step 5: Solve for x
    x = 841,028,389,776/430,022
  6. Step 6: Final answer
    x = 1,955,779.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.