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Finding the Third Proportional to 924,913 and 2,017,897

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Solution

The third proportional to 924,913 and 2,017,897 is: 4,402,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,913 : 2,017,897 = 2,017,897 : x
  2. Step 2: Convert to fraction form
    924,913/2,017,897 = 2,017,897/x
  3. Step 3: Cross multiply
    924,913x = 2,017,897 × 2,017,897
  4. Step 4: Simplify right side
    924,913x = 4,071,908,302,609
  5. Step 5: Solve for x
    x = 4,071,908,302,609/924,913
  6. Step 6: Final answer
    x = 4,402,477.10

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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.