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Finding the Third Proportional to 973,566 and 2,130,363

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Solution

The third proportional to 973,566 and 2,130,363 is: 4,661,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,566 : 2,130,363 = 2,130,363 : x
  2. Step 2: Convert to fraction form
    973,566/2,130,363 = 2,130,363/x
  3. Step 3: Cross multiply
    973,566x = 2,130,363 × 2,130,363
  4. Step 4: Simplify right side
    973,566x = 4,538,446,511,769
  5. Step 5: Solve for x
    x = 4,538,446,511,769/973,566
  6. Step 6: Final answer
    x = 4,661,673.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.