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Finding the Third Proportional to 973,534 and 2,130,590

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Solution

The third proportional to 973,534 and 2,130,590 is: 4,662,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,534 : 2,130,590 = 2,130,590 : x
  2. Step 2: Convert to fraction form
    973,534/2,130,590 = 2,130,590/x
  3. Step 3: Cross multiply
    973,534x = 2,130,590 × 2,130,590
  4. Step 4: Simplify right side
    973,534x = 4,539,413,748,100
  5. Step 5: Solve for x
    x = 4,539,413,748,100/973,534
  6. Step 6: Final answer
    x = 4,662,819.94

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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.