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Finding the Third Proportional to 909,465 and 1,980,391

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Solution

The third proportional to 909,465 and 1,980,391 is: 4,312,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,465 : 1,980,391 = 1,980,391 : x
  2. Step 2: Convert to fraction form
    909,465/1,980,391 = 1,980,391/x
  3. Step 3: Cross multiply
    909,465x = 1,980,391 × 1,980,391
  4. Step 4: Simplify right side
    909,465x = 3,921,948,512,881
  5. Step 5: Solve for x
    x = 3,921,948,512,881/909,465
  6. Step 6: Final answer
    x = 4,312,368.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.