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Finding the Third Proportional to 430,110 and 971,210.25

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Solution

The third proportional to 430,110 and 971,210.25 is: 2,193,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,110 : 971,210.25 = 971,210.25 : x
  2. Step 2: Convert to fraction form
    430,110/971,210.25 = 971,210.25/x
  3. Step 3: Cross multiply
    430,110x = 971,210.25 × 971,210.25
  4. Step 4: Simplify right side
    430,110x = 943,249,349,705.06
  5. Step 5: Solve for x
    x = 943,249,349,705.06/430,110
  6. Step 6: Final answer
    x = 2,193,042.13

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.