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Finding the Third Proportional to 4,670,671.50 and 6,574,461.75

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Solution

The third proportional to 4,670,671.50 and 6,574,461.75 is: 9,254,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670,671.50 : 6,574,461.75 = 6,574,461.75 : x
  2. Step 2: Convert to fraction form
    4,670,671.50/6,574,461.75 = 6,574,461.75/x
  3. Step 3: Cross multiply
    4,670,671.50x = 6,574,461.75 × 6,574,461.75
  4. Step 4: Simplify right side
    4,670,671.50x = 43,223,547,302,213.06
  5. Step 5: Solve for x
    x = 43,223,547,302,213.06/4,670,671.50
  6. Step 6: Final answer
    x = 9,254,246.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.