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Finding the Third Proportional to 829,490 and 1,776,484

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Solution

The third proportional to 829,490 and 1,776,484 is: 3,804,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,490 : 1,776,484 = 1,776,484 : x
  2. Step 2: Convert to fraction form
    829,490/1,776,484 = 1,776,484/x
  3. Step 3: Cross multiply
    829,490x = 1,776,484 × 1,776,484
  4. Step 4: Simplify right side
    829,490x = 3,155,895,402,256
  5. Step 5: Solve for x
    x = 3,155,895,402,256/829,490
  6. Step 6: Final answer
    x = 3,804,621.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.