Finding the Third Proportional to 460,346,004 and 986,354,496
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Solution
The third proportional to 460,346,004 and 986,354,496 is: 2,113,399,884.71
Step by Step Solution
- Step 1: Write the proportion equation
460,346,004 : 986,354,496 = 986,354,496 : x - Step 2: Convert to fraction form
460,346,004/986,354,496 = 986,354,496/x - Step 3: Cross multiply
460,346,004x = 986,354,496 × 986,354,496 - Step 4: Simplify right side
460,346,004x = 972,895,191,779,414,016 - Step 5: Solve for x
x = 972,895,191,779,414,016/460,346,004 - Step 6: Final answer
x = 2,113,399,884.71
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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.